Representations Of Lie Groups Kyoto Hiroshima 1986

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Representations of Lie Groups, Kyoto, Hiroshima, 1986

Author : K. Okamoto
Publisher : Academic Press
ISBN 13 : 1483257576
Total Pages : 673 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Representations of Lie Groups, Kyoto, Hiroshima, 1986 by : K. Okamoto

Download or read book Representations of Lie Groups, Kyoto, Hiroshima, 1986 written by K. Okamoto and published by Academic Press. This book was released on 2014-07-22 with total page 673 pages. Available in PDF, EPUB and Kindle. Book excerpt: Representations of Lie Groups, Kyoto, Hiroshima, 1986 contains the proceedings of a symposium on "Analysis on Homogeneous Spaces and Representations of Lie Groups" held on September 1-6, 1986 in Japan. The symposium provided a forum for discussing Lie groups and covered topics ranging from geometric constructions of representations to the irreducibility of discrete series representations for semisimple symmetric spaces. A classification theory of prehomogeneous vector spaces is also described. Comprised of 22 chapters, this volume first considers the characteristic varieties of certain modules over the enveloping algebra of a semisimple Lie algebra, such as highest weight modules and primitive quotients. The reader is then introduced to multiplicity one theorems for generalized Gelfand-Graev representations of semisimple Lie groups and Whittaker models for the discrete series. Subsequent chapters focus on Lie algebra cohomology and holomorphic continuation of generalized Jacquet integrals; the generalized Geroch conjecture; algebraic structures on virtual characters of a semisimple Lie group; and fundamental groups of semisimple symmetric spaces. The book concludes with an analysis of the boundedness of certain unitarizable Harish-Chandra modules. This monograph will appeal to students, specialists, and researchers in the field of pure mathematics.

Lie Theory

Author : Jean-Philippe Anker
Publisher : Springer Science & Business Media
ISBN 13 : 0817644261
Total Pages : 183 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Lie Theory by : Jean-Philippe Anker

Download or read book Lie Theory written by Jean-Philippe Anker and published by Springer Science & Business Media. This book was released on 2006-02-25 with total page 183 pages. Available in PDF, EPUB and Kindle. Book excerpt: * Presents extensive surveys by van den Ban, Schlichtkrull, and Delorme of the recent progress in deriving the Plancherel theorem on reductive symmetric spaces * Well suited for both graduate students and researchers in semisimple Lie theory and neighboring fields, possibly even mathematical cosmology * Knowledge of basic representation theory of Lie groups as well as familiarity with semisimple Lie groups, symmetric spaces, and parabolic subgroups is required

Cohomological Induction and Unitary Representations (PMS-45), Volume 45

Author : Anthony W. Knapp
Publisher : Princeton University Press
ISBN 13 : 1400883938
Total Pages : 968 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Cohomological Induction and Unitary Representations (PMS-45), Volume 45 by : Anthony W. Knapp

Download or read book Cohomological Induction and Unitary Representations (PMS-45), Volume 45 written by Anthony W. Knapp and published by Princeton University Press. This book was released on 2016-06-02 with total page 968 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a systematic treatment--the first in book form--of the development and use of cohomological induction to construct unitary representations. George Mackey introduced induction in 1950 as a real analysis construction for passing from a unitary representation of a closed subgroup of a locally compact group to a unitary representation of the whole group. Later a parallel construction using complex analysis and its associated co-homology theories grew up as a result of work by Borel, Weil, Harish-Chandra, Bott, Langlands, Kostant, and Schmid. Cohomological induction, introduced by Zuckerman, is an algebraic analog that is technically more manageable than the complex-analysis construction and leads to a large repertory of irreducible unitary representations of reductive Lie groups. The book, which is accessible to students beyond the first year of graduate school, will interest mathematicians and physicists who want to learn about and take advantage of the algebraic side of the representation theory of Lie groups. Cohomological Induction and Unitary Representations develops the necessary background in representation theory and includes an introductory chapter of motivation, a thorough treatment of the "translation principle," and four appendices on algebra and analysis.

Representations of Reductive Groups

Author : Avraham Aizenbud
Publisher : American Mathematical Soc.
ISBN 13 : 1470442841
Total Pages : 466 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Representations of Reductive Groups by : Avraham Aizenbud

Download or read book Representations of Reductive Groups written by Avraham Aizenbud and published by American Mathematical Soc.. This book was released on 2019-02-20 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the Conference on Representation Theory and Algebraic Geometry, held in honor of Joseph Bernstein, from June 11–16, 2017, at the Weizmann Institute of Science and The Hebrew University of Jerusalem. The topics reflect the decisive and diverse impact of Bernstein on representation theory in its broadest scope. The themes include representations of p -adic groups and Hecke algebras in all characteristics, representations of real groups and supergroups, theta correspondence, and automorphic forms.

Harmonic Analysis on Reductive Groups

Author : W. Barker
Publisher : Springer Science & Business Media
ISBN 13 : 1461204550
Total Pages : 395 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Harmonic Analysis on Reductive Groups by : W. Barker

Download or read book Harmonic Analysis on Reductive Groups written by W. Barker and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: A conference on Harmonic Analysis on Reductive Groups was held at Bowdoin College in Brunswick, Maine from July 31 to August 11, 1989. The stated goal of the conference was to explore recent advances in harmonic analysis on both real and p-adic groups. It was the first conference since the AMS Summer Sym posium on Harmonic Analysis on Homogeneous Spaces, held at Williamstown, Massachusetts in 1972, to cover local harmonic analysis on reductive groups in such detail and to such an extent. While the Williamstown conference was longer (three weeks) and somewhat broader (nilpotent groups, solvable groups, as well as semisimple and reductive groups), the structure and timeliness of the two meetings was remarkably similar. The program of the Bowdoin Conference consisted of two parts. First, there were six major lecture series, each consisting of several talks addressing those topics in harmonic analysis on real and p-adic groups which were the focus of intensive research during the previous decade. These lectures began at an introductory level and advanced to the current state of research. Sec ond, there was a series of single lectures in which the speakers presented an overview of their latest research.

The Penrose Transform and Analytic Cohomology in Representation Theory

Author : Michael G. Eastwood
Publisher : American Mathematical Soc.
ISBN 13 : 0821851764
Total Pages : 274 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis The Penrose Transform and Analytic Cohomology in Representation Theory by : Michael G. Eastwood

Download or read book The Penrose Transform and Analytic Cohomology in Representation Theory written by Michael G. Eastwood and published by American Mathematical Soc.. This book was released on 1993 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains refereed papers presented at the AMS-IMS-SIAM Summer Research Conference on the Penrose Transform and Analytic Cohomology in Representation Theory held in the summer of 1992 at Mount Holyoke College. The conference brought together some of the top experts in representation theory and differential geometry. One of the issues explored at the conference was the fact that various integral transforms from representation theory, complex integral geometry, and mathematical physics appear to be instances of the same general construction, which is sometimes called the ``Penrose transform''. There is considerable scope for further research in this area, and this book would serve as an excellent introduction.

Symmetry: Representation Theory and Its Applications

Author : Roger Howe
Publisher : Springer
ISBN 13 : 1493915908
Total Pages : 562 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Symmetry: Representation Theory and Its Applications by : Roger Howe

Download or read book Symmetry: Representation Theory and Its Applications written by Roger Howe and published by Springer. This book was released on 2015-01-04 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nolan Wallach's mathematical research is remarkable in both its breadth and depth. His contributions to many fields include representation theory, harmonic analysis, algebraic geometry, combinatorics, number theory, differential equations, Riemannian geometry, ring theory, and quantum information theory. The touchstone and unifying thread running through all his work is the idea of symmetry. This volume is a collection of invited articles that pay tribute to Wallach's ideas, and show symmetry at work in a large variety of areas. The articles, predominantly expository, are written by distinguished mathematicians and contain sufficient preliminary material to reach the widest possible audiences. Graduate students, mathematicians, and physicists interested in representation theory and its applications will find many gems in this volume that have not appeared in print elsewhere. Contributors: D. Barbasch, K. Baur, O. Bucicovschi, B. Casselman, D. Ciubotaru, M. Colarusso, P. Delorme, T. Enright, W.T. Gan, A Garsia, G. Gour, B. Gross, J. Haglund, G. Han, P. Harris, J. Hong, R. Howe, M. Hunziker, B. Kostant, H. Kraft, D. Meyer, R. Miatello, L. Ni, G. Schwarz, L. Small, D. Vogan, N. Wallach, J. Wolf, G. Xin, O. Yacobi.

Representation Theory and Analysis on Homogeneous Spaces

Author : Semen Grigorʹevich Gindikin
Publisher : American Mathematical Soc.
ISBN 13 : 082180300X
Total Pages : 272 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Representation Theory and Analysis on Homogeneous Spaces by : Semen Grigorʹevich Gindikin

Download or read book Representation Theory and Analysis on Homogeneous Spaces written by Semen Grigorʹevich Gindikin and published by American Mathematical Soc.. This book was released on 1994 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: A combination of new results and surveys of recent work on representation theory and the harmonic analysis of real and p-adic groups. Among the topics are nilpotent homogeneous spaces, multiplicity formulas for induced representations, and new methods for constructing unitary representations of real reductive groups. The 12 papers are from a conference at Rutgers University, February 1993. No index. Annotation copyright by Book News, Inc., Portland, OR

Representation Theory, Complex Analysis, and Integral Geometry

Author : Bernhard Krötz
Publisher : Springer Science & Business Media
ISBN 13 : 081764816X
Total Pages : 282 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Representation Theory, Complex Analysis, and Integral Geometry by : Bernhard Krötz

Download or read book Representation Theory, Complex Analysis, and Integral Geometry written by Bernhard Krötz and published by Springer Science & Business Media. This book was released on 2011-12-13 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume targets graduate students and researchers in the fields of representation theory, automorphic forms, Hecke algebras, harmonic analysis, number theory.

Representation Theory and Mathematical Physics

Author : Jeffrey Adams
Publisher : American Mathematical Soc.
ISBN 13 : 0821852469
Total Pages : 404 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Representation Theory and Mathematical Physics by : Jeffrey Adams

Download or read book Representation Theory and Mathematical Physics written by Jeffrey Adams and published by American Mathematical Soc.. This book was released on 2011-11-07 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the conference on Representation Theory and Mathematical Physics, in honor of Gregg Zuckerman's 60th birthday, held October 24-27, 2009, at Yale University. Lie groups and their representations play a fundamental role in mathematics, in particular because of connections to geometry, topology, number theory, physics, combinatorics, and many other areas. Representation theory is one of the cornerstones of the Langlands program in number theory, dating to the 1970s. Zuckerman's work on derived functors, the translation principle, and coherent continuation lie at the heart of the modern theory of representations of Lie groups. One of the major unsolved problems in representation theory is that of the unitary dual. The fact that there is, in principle, a finite algorithm for computing the unitary dual relies heavily on Zuckerman's work. In recent years there has been a fruitful interplay between mathematics and physics, in geometric representation theory, string theory, and other areas. New developments on chiral algebras, representation theory of affine Kac-Moody algebras, and the geometric Langlands correspondence are some of the focal points of this volume. Recent developments in the geometric Langlands program point to exciting connections between certain automorphic representations and dual fibrations in geometric mirror symmetry.

Representations of Reductive Groups

Author : Monica Nevins
Publisher : Birkhäuser
ISBN 13 : 3319234439
Total Pages : 545 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Representations of Reductive Groups by : Monica Nevins

Download or read book Representations of Reductive Groups written by Monica Nevins and published by Birkhäuser. This book was released on 2015-12-18 with total page 545 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the last forty years, David Vogan has left an indelible imprint on the representation theory of reductive groups. His groundbreaking ideas have lead to deep advances in the theory of real and p-adic groups, and have forged lasting connections with other subjects, including number theory, automorphic forms, algebraic geometry, and combinatorics. Representations of Reductive Groups is an outgrowth of the conference of the same name, dedicated to David Vogan on his 60th birthday, which took place at MIT on May 19-23, 2014. This volume highlights the depth and breadth of Vogan's influence over the subjects mentioned above, and point to many exciting new directions that remain to be explored. Notably, the first article by McGovern and Trapa offers an overview of Vogan's body of work, placing his ideas in a historical context. Contributors: Pramod N. Achar, Jeffrey D. Adams, Dan Barbasch, Manjul Bhargava, Cédric Bonnafé, Dan Ciubotaru, Meinolf Geck, William Graham, Benedict H. Gross, Xuhua He, Jing-Song Huang, Toshiyuki Kobayashi, Bertram Kostant, Wenjing Li, George Lusztig, Eric Marberg, William M. McGovern, Wilfried Schmid, Kari Vilonen, Diana Shelstad, Peter E. Trapa, David A. Vogan, Jr., Nolan R. Wallach, Xiaoheng Wang, Geordie Williamson

The Orbit Method in Representation Theory

Author : Dulfo
Publisher : Springer Science & Business Media
ISBN 13 : 1461244862
Total Pages : 234 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis The Orbit Method in Representation Theory by : Dulfo

Download or read book The Orbit Method in Representation Theory written by Dulfo and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ever since its introduction around 1960 by Kirillov, the orbit method has played a major role in representation theory of Lie groups and Lie algebras. This book contains the proceedings of a conference held from August 29 to September 2, 1988, at the University of Copenhagen, about "the orbit method in representation theory." It contains ten articles, most of which are original research papers, by well-known mathematicians in the field, and it reflects the fact that the orbit method plays an important role in the representation theory of semisimple Lie groups, solvable Lie groups, and even more general Lie groups, and also in the theory of enveloping algebras.

Geometric and Harmonic Analysis on Homogeneous Spaces

Author : Ali Baklouti
Publisher : Springer Nature
ISBN 13 : 3030265625
Total Pages : 227 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Geometric and Harmonic Analysis on Homogeneous Spaces by : Ali Baklouti

Download or read book Geometric and Harmonic Analysis on Homogeneous Spaces written by Ali Baklouti and published by Springer Nature. This book was released on 2019-08-31 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a number of important contributions focusing on harmonic analysis and representation theory of Lie groups. All were originally presented at the 5th Tunisian–Japanese conference “Geometric and Harmonic Analysis on Homogeneous Spaces and Applications”, which was held at Mahdia in Tunisia from 17 to 21 December 2017 and was dedicated to the memory of the brilliant Tunisian mathematician Majdi Ben Halima. The peer-reviewed contributions selected for publication have been modified and are, without exception, of a standard equivalent to that in leading mathematical periodicals. Highlighting the close links between group representation theory and harmonic analysis on homogeneous spaces and numerous mathematical areas, such as number theory, algebraic geometry, differential geometry, operator algebra, partial differential equations and mathematical physics, the book is intended for researchers and students working in the area of commutative and non-commutative harmonic analysis as well as group representations.

Lie Algebras, Vertex Operator Algebras and Their Applications

Author : Yi-Zhi Huang
Publisher : American Mathematical Soc.
ISBN 13 : 0821839861
Total Pages : 500 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Lie Algebras, Vertex Operator Algebras and Their Applications by : Yi-Zhi Huang

Download or read book Lie Algebras, Vertex Operator Algebras and Their Applications written by Yi-Zhi Huang and published by American Mathematical Soc.. This book was released on 2007 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: The articles in this book are based on talks given at the international conference 'Lie algebras, vertex operator algebras and their applications'. The focus of the papers is mainly on Lie algebras, quantum groups, vertex operator algebras and their applications to number theory, combinatorics and conformal field theory.

Ottawa Lectures on Admissible Representations of Reductive P-adic Groups

Author : Clifton Cunningham
Publisher : American Mathematical Soc.
ISBN 13 : 0821885944
Total Pages : 217 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Ottawa Lectures on Admissible Representations of Reductive P-adic Groups by : Clifton Cunningham

Download or read book Ottawa Lectures on Admissible Representations of Reductive P-adic Groups written by Clifton Cunningham and published by American Mathematical Soc.. This book was released on 2009-01-01 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Geometric Analysis and Integral Geometry

Author : Eric Todd Quinto
Publisher : American Mathematical Soc.
ISBN 13 : 0821887386
Total Pages : 299 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Geometric Analysis and Integral Geometry by : Eric Todd Quinto

Download or read book Geometric Analysis and Integral Geometry written by Eric Todd Quinto and published by American Mathematical Soc.. This book was released on 2013 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides an historical overview of several decades in integral geometry and geometric analysis as well as recent advances in these fields and closely related areas. It contains several articles focusing on the mathematical work of Sigurdur Helgason, including an overview of his research by Gestur Olafsson and Robert Stanton.

Introduction to Prehomogeneous Vector Spaces

Author : Tatsuo Kimura
Publisher : American Mathematical Soc.
ISBN 13 : 9780821827673
Total Pages : 318 pages
Book Rating : 4.8/5 (276 download)

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Book Synopsis Introduction to Prehomogeneous Vector Spaces by : Tatsuo Kimura

Download or read book Introduction to Prehomogeneous Vector Spaces written by Tatsuo Kimura and published by American Mathematical Soc.. This book was released on 2003 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first introductory book on the theory of prehomogeneous vector spaces, introduced in the 1970s by Mikio Sato. The author was an early and important developer of the theory and continues to be active in the field. The subject combines elements of several areas of mathematics, such as algebraic geometry, Lie groups, analysis, number theory, and invariant theory. An important objective is to create applications to number theory. For example, one of the key topics is that of zeta functions attached to prehomogeneous vector spaces; these are generalizations of the Riemann zeta function, a cornerstone of analytic number theory. Prehomogeneous vector spaces are also of use in representation theory, algebraic geometry and invariant theory. This book explains the basic concepts of prehomogeneous vector spaces, the fundamental theorem, the zeta functions associated with prehomogeneous vector spaces and a classification theory of irreducible prehomogeneous vector spaces. It strives, and to a large extent succeeds, in making this content, which is by its nature fairly technical, self-contained and accessible. The first section of the book, "Overview of the theory and contents of this book," Is particularly noteworthy as an excellent introduction to the subject.