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Representation Theory Of Lie Groups And Lie Algebras Proceedings Of Fuji Kawaguchiko Conference
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Book Synopsis Representation Theory Of Lie Groups And Lie Algebras - Proceedings Of Fuji-kawaguchiko Conference by : Takeshi Kawazoe
Download or read book Representation Theory Of Lie Groups And Lie Algebras - Proceedings Of Fuji-kawaguchiko Conference written by Takeshi Kawazoe and published by World Scientific. This book was released on 1992-08-07 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: The proceedings in this volume covers recent developments of representation theory of real Lie groups, Lie algebras, harmonic analysis on homogeneous spaces, their applications and related topics.
Book Synopsis Representation Theory of Lie Groups and Lie Algebras by :
Download or read book Representation Theory of Lie Groups and Lie Algebras written by and published by . This book was released on 1992 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Representation Theory of Lie Groups and Lie Algebras by : Takeshi Kawazoe
Download or read book Representation Theory of Lie Groups and Lie Algebras written by Takeshi Kawazoe and published by . This book was released on 1992 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Representation Theory of Solvable Lie Groups and Related Topics by : Ali Baklouti
Download or read book Representation Theory of Solvable Lie Groups and Related Topics written by Ali Baklouti and published by Springer Nature. This book was released on 2021-10-08 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of the book is to discuss the latest advances in the theory of unitary representations and harmonic analysis for solvable Lie groups. The orbit method created by Kirillov is the most powerful tool to build the ground frame of these theories. Many problems are studied in the nilpotent case, but several obstacles arise when encompassing exponentially solvable settings. The book offers the most recent solutions to a number of open questions that arose over the last decades, presents the newest related results, and offers an alluring platform for progressing in this research area. The book is unique in the literature for which the readership extends to graduate students, researchers, and beginners in the fields of harmonic analysis on solvable homogeneous spaces.
Book Synopsis Harmonic Analysis on Exponential Solvable Lie Groups by : Hidenori Fujiwara
Download or read book Harmonic Analysis on Exponential Solvable Lie Groups written by Hidenori Fujiwara and published by Springer. This book was released on 2014-12-05 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first one that brings together recent results on the harmonic analysis of exponential solvable Lie groups. There still are many interesting open problems, and the book contributes to the future progress of this research field. As well, various related topics are presented to motivate young researchers. The orbit method invented by Kirillov is applied to study basic problems in the analysis on exponential solvable Lie groups. This method tells us that the unitary dual of these groups is realized as the space of their coadjoint orbits. This fact is established using the Mackey theory for induced representations, and that mechanism is explained first. One of the fundamental problems in the representation theory is the irreducible decomposition of induced or restricted representations. Therefore, these decompositions are studied in detail before proceeding to various related problems: the multiplicity formula, Plancherel formulas, intertwining operators, Frobenius reciprocity, and associated algebras of invariant differential operators. The main reasoning in the proof of the assertions made here is induction, and for this there are not many tools available. Thus a detailed analysis of the objects listed above is difficult even for exponential solvable Lie groups, and it is often assumed that G is nilpotent. To make the situation clearer and future development possible, many concrete examples are provided. Various topics presented in the nilpotent case still have to be studied for solvable Lie groups that are not nilpotent. They all present interesting and important but difficult problems, however, which should be addressed in the near future. Beyond the exponential case, holomorphically induced representations introduced by Auslander and Kostant are needed, and for that reason they are included in this book.
Book Synopsis Deformation Theory of Discontinuous Groups by : Ali Baklouti
Download or read book Deformation Theory of Discontinuous Groups written by Ali Baklouti and published by Walter de Gruyter GmbH & Co KG. This book was released on 2022-07-05 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the latest developments of the theory of discontinuous groups acting on homogenous spaces, from basic concepts to a comprehensive exposition. It develops the newest approaches and methods in the deformation theory of topological modules and unitary representations and focuses on the geometry of discontinuous groups of solvable Lie groups and their compact extensions. It also presents proofs of recent results, computes fundamental examples, and serves as an introduction and reference for students and experienced researchers in Lie theory, discontinuous groups, and deformation (and moduli) spaces.
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 217 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.
Book Synopsis Algebraic and Analytic Methods in Representation Theory by :
Download or read book Algebraic and Analytic Methods in Representation Theory written by and published by Elsevier. This book was released on 1996-09-27 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a compilation of several works from well-recognized figures in the field of Representation Theory. The presentation of the topic is unique in offering several different points of view, which should makethe book very useful to students and experts alike. Presents several different points of view on key topics in representation theory, from internationally known experts in the field
Book Synopsis Proceedings of the Tunisian Mathematical Society, Volume 11 by : K. Trimeche
Download or read book Proceedings of the Tunisian Mathematical Society, Volume 11 written by K. Trimeche and published by Nova Publishers. This book was released on 2006 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings consist of ten carefully refereed and selected papers which were presented at the 12th symposium of Tunisian Mathematical Society held on March 18-23, 2004 in Mahdia (Tunisia). This symposium was one of the largest international meeting on Mathematics in Tunisia. A total of 200 participants from several countries attended to the meeting. In addition to the plenary, invited and contributed talks, there was a panel discussion on future research directions and problems in various areas of mathematics.
Book Synopsis Arithmetic Groups and Their Generalizations by : Lizhen Ji
Download or read book Arithmetic Groups and Their Generalizations written by Lizhen Ji and published by American Mathematical Soc.. This book was released on 2009-04-20 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: In one guise or another, many mathematicians are familiar with certain arithmetic groups, such as $\mathbf{Z}$ or $\textrm{SL}(n,\mathbf{Z})$. Yet, many applications of arithmetic groups and many connections to other subjects within mathematics are less well known. Indeed, arithmetic groups admit many natural and important generalizations. The purpose of this expository book is to explain, through some brief and informal comments and extensive references, what arithmetic groups and their generalizations are, why they are important to study, and how they can be understood and applied to many fields, such as analysis, geometry, topology, number theory, representation theory, and algebraic geometry. It is hoped that such an overview will shed a light on the important role played by arithmetic groups in modern mathematics. Titles in this series are co-published with International Press, Cambridge, MA. Table of Contents: Introduction; General comments on references; Examples of basic arithmetic groups; General arithmetic subgroups and locally symmetric spaces; Discrete subgroups of Lie groups and arithmeticity of lattices in Lie groups; Different completions of $\mathbb{Q}$ and $S$-arithmetic groups over number fields; Global fields and $S$-arithmetic groups over function fields; Finiteness properties of arithmetic and $S$-arithmetic groups; Symmetric spaces, Bruhat-Tits buildings and their arithmetic quotients; Compactifications of locally symmetric spaces; Rigidity of locally symmetric spaces; Automorphic forms and automorphic representations for general arithmetic groups; Cohomology of arithmetic groups; $K$-groups of rings of integers and $K$-groups of group rings; Locally homogeneous manifolds and period domains; Non-cofinite discrete groups, geometrically finite groups; Large scale geometry of discrete groups; Tree lattices; Hyperbolic groups; Mapping class groups and outer automorphism groups of free groups; Outer automorphism group of free groups and the outer spaces; References; Index. Review from Mathematical Reviews: ...the author deserves credit for having done the tremendous job of encompassing every aspect of arithmetic groups visible in today's mathematics in a systematic manner; the book should be an important guide for some time to come. (AMSIP/43.)
Book Synopsis Representation Theory of Lie Groups by : M. F. Atiyah
Download or read book Representation Theory of Lie Groups written by M. F. Atiyah and published by Cambridge University Press. This book was released on 1979 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1977 a symposium was held in Oxford to introduce Lie groups and their representations to non-specialists.
Book Synopsis Lie Groups, Number Theory, and Vertex Algebras by : Dražen Adamović
Download or read book Lie Groups, Number Theory, and Vertex Algebras written by Dražen Adamović and published by American Mathematical Soc.. This book was released on 2021-05-10 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the conference Representation Theory XVI, held from June 25–29, 2019, in Dubrovnik, Croatia. The articles in the volume address selected aspects of representation theory of reductive Lie groups and vertex algebras, and are written by prominent experts in the field as well as junior researchers. The three main topics of these articles are Lie theory, number theory, and vertex algebras.
Book Synopsis Representation of Lie Groups and Special Functions by : N.Ja. Vilenkin
Download or read book Representation of Lie Groups and Special Functions written by N.Ja. Vilenkin and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1991-1993 our three-volume book "Representation of Lie Groups and Spe cial Functions" was published. When we started to write that book (in 1983), editors of "Kluwer Academic Publishers" expressed their wish for the book to be of encyclopaedic type on the subject. Interrelations between representations of Lie groups and special functions are very wide. This width can be explained by existence of different types of Lie groups and by richness of the theory of their rep resentations. This is why the book, mentioned above, spread to three big volumes. Influence of representations of Lie groups and Lie algebras upon the theory of special functions is lasting. This theory is developing further and methods of the representation theory are of great importance in this development. When the book "Representation of Lie Groups and Special Functions" ,vol. 1-3, was under preparation, new directions of the theory of special functions, connected with group representations, appeared. New important results were discovered in the traditional directions. This impelled us to write a continuation of our three-volume book on relationship between representations and special functions. The result of our further work is the present book. The three-volume book, published before, was devoted mainly to studying classical special functions and orthogonal polynomials by means of matrix elements, Clebsch-Gordan and Racah coefficients of group representations and to generaliza tions of classical special functions that were dictated by matrix elements of repre sentations.
Book Synopsis Lie Groups, Lie Algebras, and Their Representations by : V. S. Varadarajan
Download or read book Lie Groups, Lie Algebras, and Their Representations written by V. S. Varadarajan and published by . This book was released on 2014-01-15 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Recent Developments in Lie Algebras, Groups, and Representation Theory by : Kailash C. Misra
Download or read book Recent Developments in Lie Algebras, Groups, and Representation Theory written by Kailash C. Misra and published by American Mathematical Soc.. This book was released on 2012 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the proceedings of the 2009-2011 Southeastern Lie Theory Workshop Series, held October 9-11, 2009 at North Carolina State University, May 22-24, 2010, at the University of Georgia, and June 1-4, 2011 at the University of Virginia. Some of the articles, written by experts in the field, survey recent developments while others include new results in Lie algebras, quantum groups, finite groups, and algebraic groups.
Download or read book Mathematical Reviews written by and published by . This book was released on 1993 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Lie Groups written by J.J. Duistermaat and published by Springer Science & Business Media. This book was released on 1999-12-15 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: This (post) graduate text gives a broad introduction to Lie groups and algebras with an emphasis on differential geometrical methods. It analyzes the structure of compact Lie groups in terms of the action of the group on itself by conjugation, culminating in the classification of the representations of compact Lie groups and their realization as sections of holomorphic line bundles over flag manifolds. Appendices provide background reviews.
