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Author : H. Munthe-Kaas
Publisher :
ISBN 13 :
Total Pages : 44 pages
Book Rating : 4.E/5 ( download)
Download or read book The Polar Decomposition on Lie Groups with Involutive Automorphisms written by H. Munthe-Kaas and published by . This book was released on 2000 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Arkadij L. Onishchik
Publisher : Springer Science & Business Media
ISBN 13 : 364274334X
Total Pages : 347 pages
Book Rating : 4.6/5 (427 download)
Download or read book Lie Groups and Algebraic Groups written by Arkadij L. Onishchik and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on the notes of the authors' seminar on algebraic and Lie groups held at the Department of Mechanics and Mathematics of Moscow University in 1967/68. Our guiding idea was to present in the most economic way the theory of semisimple Lie groups on the basis of the theory of algebraic groups. Our main sources were A. Borel's paper [34], C. ChevalIey's seminar [14], seminar "Sophus Lie" [15] and monographs by C. Chevalley [4], N. Jacobson [9] and J-P. Serre [16, 17]. In preparing this book we have completely rearranged these notes and added two new chapters: "Lie groups" and "Real semisimple Lie groups". Several traditional topics of Lie algebra theory, however, are left entirely disregarded, e.g. universal enveloping algebras, characters of linear representations and (co)homology of Lie algebras. A distinctive feature of this book is that almost all the material is presented as a sequence of problems, as it had been in the first draft of the seminar's notes. We believe that solving these problems may help the reader to feel the seminar's atmosphere and master the theory. Nevertheless, all the non-trivial ideas, and sometimes solutions, are contained in hints given at the end of each section. The proofs of certain theorems, which we consider more difficult, are given directly in the main text. The book also contains exercises, the majority of which are an essential complement to the main contents.
Author : Antonella Zanna
Publisher :
ISBN 13 :
Total Pages : 34 pages
Book Rating : 4.E/5 ( download)
Download or read book Recurrence Relation for the Factors in the Polar Decomposition on Lie Groups written by Antonella Zanna and published by . This book was released on 2000 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Roe Goodman
Publisher : Springer Science & Business Media
ISBN 13 : 0387798528
Total Pages : 731 pages
Book Rating : 4.3/5 (877 download)
Download or read book Symmetry, Representations, and Invariants written by Roe Goodman and published by Springer Science & Business Media. This book was released on 2009-07-30 with total page 731 pages. Available in PDF, EPUB and Kindle. Book excerpt: Symmetry is a key ingredient in many mathematical, physical, and biological theories. Using representation theory and invariant theory to analyze the symmetries that arise from group actions, and with strong emphasis on the geometry and basic theory of Lie groups and Lie algebras, Symmetry, Representations, and Invariants is a significant reworking of an earlier highly-acclaimed work by the authors. The result is a comprehensive introduction to Lie theory, representation theory, invariant theory, and algebraic groups, in a new presentation that is more accessible to students and includes a broader range of applications. The philosophy of the earlier book is retained, i.e., presenting the principal theorems of representation theory for the classical matrix groups as motivation for the general theory of reductive groups. The wealth of examples and discussion prepares the reader for the complete arguments now given in the general case. Key Features of Symmetry, Representations, and Invariants: (1) Early chapters suitable for honors undergraduate or beginning graduate courses, requiring only linear algebra, basic abstract algebra, and advanced calculus; (2) Applications to geometry (curvature tensors), topology (Jones polynomial via symmetry), and combinatorics (symmetric group and Young tableaux); (3) Self-contained chapters, appendices, comprehensive bibliography; (4) More than 350 exercises (most with detailed hints for solutions) further explore main concepts; (5) Serves as an excellent main text for a one-year course in Lie group theory; (6) Benefits physicists as well as mathematicians as a reference work.
Author : Michael Cowling
Publisher : Springer Science & Business Media
ISBN 13 : 3540768912
Total Pages : 400 pages
Book Rating : 4.5/5 (47 download)
Download or read book Representation Theory and Complex Analysis written by Michael Cowling and published by Springer Science & Business Media. This book was released on 2008-02-27 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Six leading experts lecture on a wide spectrum of recent results on the subject of the title. They present a survey of various interactions between representation theory and harmonic analysis on semisimple groups and symmetric spaces, and recall the concept of amenability. They further illustrate how representation theory is related to quantum computing; and much more. Taken together, this volume provides both a solid reference and deep insights on current research activity.
Author : Karl-Hermann Neeb
Publisher : Walter de Gruyter
ISBN 13 : 3110808145
Total Pages : 804 pages
Book Rating : 4.1/5 (18 download)
Download or read book Holomorphy and Convexity in Lie Theory written by Karl-Hermann Neeb and published by Walter de Gruyter. This book was released on 2011-04-20 with total page 804 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany
Author : A. Zanna
Publisher :
ISBN 13 :
Total Pages : 46 pages
Book Rating : 4.E/5 ( download)
Download or read book Generalized Polar Decomposition for the Approximation of the Matrix Exponential written by A. Zanna and published by . This book was released on 2000 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Wulf Rossmann
Publisher : Oxford University Press, USA
ISBN 13 : 9780199202515
Total Pages : 290 pages
Book Rating : 4.2/5 (25 download)
Download or read book Lie Groups written by Wulf Rossmann and published by Oxford University Press, USA. This book was released on 2006 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to the theory of Lie groups and their representations at the advanced undergraduate or beginning graduate level. It covers the essentials of the subject starting from basic undergraduate mathematics. The correspondence between linear Lie groups and Lie algebras is developed in its local and global aspects. The classical groups are analyzed in detail, first with elementary matrix methods, then with the help of the structural tools typical of the theory of semisimple groups, such as Cartan subgroups, root, weights and reflections. The fundamental groups of the classical groups are worked out as an application of these methods. Manifolds are introduced when needed, in connection with homogeneous spaces, and the elements of differential and integral calculus on manifolds are presented, with special emphasis on integration on groups and homogeneous spaces. Representation theory starts from first principles, such as Schur's lemma and its consequences, and proceeds from there to the Peter-Weyl theorem, Weyl's character formula, and the Borel-Weil theorem, all in the context of linear groups.
Author : Wolfgang Bertram
Publisher : Springer
ISBN 13 : 3540444580
Total Pages : 285 pages
Book Rating : 4.5/5 (44 download)
Download or read book The Geometry of Jordan and Lie Structures written by Wolfgang Bertram and published by Springer. This book was released on 2003-07-01 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: The geometry of Jordan and Lie structures tries to answer the following question: what is the integrated, or geometric, version of real Jordan algebras, - triple systems and - pairs? Lie theory shows the way one has to go: Lie groups and symmetric spaces are the geometric version of Lie algebras and Lie triple systems. It turns out that both geometries are closely related via a functor between them, called the Jordan-Lie functor, which is constructed in this book. The reader is not assumed to have any knowledge of Jordan theory; the text can serve as a self-contained introduction to (real finite-dimensional) Jordan theory.
Author : T. N. Bailey
Publisher : American Mathematical Soc.
ISBN 13 : 0821806092
Total Pages : 490 pages
Book Rating : 4.8/5 (218 download)
Download or read book Representation Theory and Automorphic Forms written by T. N. Bailey and published by American Mathematical Soc.. This book was released on 1997 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: The lectures from a course in the representation theory of semi- simple groups, automorphic forms, and the relations between them. The purpose is to help analysts make systematic use of Lie groups in work on harmonic analysis, differential equations, and mathematical physics; and to provide number theorists with the representation-theoretic input to Wiles's proof of Fermat's Last Theorem. Begins with an introductory treatment of structure theory and ends with the current status of functionality. Annotation copyrighted by Book News, Inc., Portland, OR
Author : Dražen Adamović
Publisher : American Mathematical Soc.
ISBN 13 : 1470453517
Total Pages : 122 pages
Book Rating : 4.4/5 (74 download)
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.
Author : Anthony W. Knapp
Publisher : Springer Science & Business Media
ISBN 13 : 1475724535
Total Pages : 622 pages
Book Rating : 4.4/5 (757 download)
Download or read book Lie Groups Beyond an Introduction written by Anthony W. Knapp and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 622 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lie Groups Beyond an Introduction takes the reader from the end of introductory Lie group theory to the threshold of infinite-dimensional group representations. Merging algebra and analysis throughout, the author uses Lie-theoretic methods to develop a beautiful theory having wide applications in mathematics and physics. A feature of the presentation is that it encourages the reader's comprehension of Lie group theory to evolve from beginner to expert: initial insights make use of actual matrices, while later insights come from such structural features as properties of root systems, or relationships among subgroups, or patterns among different subgroups.
Author : Maria Amélia Bastos
Publisher : Springer Science & Business Media
ISBN 13 : 3764386843
Total Pages : 443 pages
Book Rating : 4.7/5 (643 download)
Download or read book Operator Algebras, Operator Theory and Applications written by Maria Amélia Bastos and published by Springer Science & Business Media. This book was released on 2008-05-27 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is composed of three survey lecture courses and some twenty invited research papers presented to WOAT 2006 - the International Summer School and Workshop on Operator Algebras, Operator Theory and Applications, held at Lisbon in September 2006. The volume reflects recent developments in the area of operator algebras and their interaction with research fields in complex analysis and operator theory. The book is aimed at postgraduates and researchers in these fields.
Author : Jing-song Huang
Publisher : World Scientific
ISBN 13 : 9814495379
Total Pages : 200 pages
Book Rating : 4.8/5 (144 download)
Download or read book Lectures On Representation Theory written by Jing-song Huang and published by World Scientific. This book was released on 1999-11-05 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an expanded version of the lectures given at the Nankai Mathematical Summer School in 1997. It provides an introduction to Lie groups, Lie algebras and their representations as well as introduces some directions of current research for graduate students who have little specialized knowledge in representation theory. It only assumes that the reader has a good knowledge of linear algebra and some basic knowledge of abstract algebra.Parts I-III of the book cover the relatively elementary material of representation theory of finite groups, simple Lie algebras and compact Lie groups. These theories are natural continuation of linear algebra. The last chapter of Part III includes some recent results on extension of Weyl's construction to exceptional groups. Part IV covers some advanced material on infinite-dimensional representations of non-compact groups such as the orbit method, minimal representations and dual pair correspondences, which introduces some directions of the current research in representation theory.
Author : Katsumi Nomizu
Publisher : American Mathematical Soc.
ISBN 13 : 9780821808405
Total Pages : 160 pages
Book Rating : 4.8/5 (84 download)
Download or read book Selected Papers on Harmonic Analysis, Groups, and Invariants written by Katsumi Nomizu and published by American Mathematical Soc.. This book was released on 1997 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: The five papers originally appeared in Japanese in the journal Sugaku and would ordinarily appear in the Society's translation of that journal, but are published separately here to expedite their dissemination. They explore such aspects as representation theory, differential geometry, invariant theory, and complex analysis. No index. Member prices are $47 for institutions and $35 for individual. Annotation copyrighted by Book News, Inc., Portland, OR.
Author : Fedor V. Fomin
Publisher :
ISBN 13 :
Total Pages : 48 pages
Book Rating : 4.E/5 ( download)
Download or read book New Upper Bounds on the Decomposability of Planar Graphs and Fixed Parameter Algorithms written by Fedor V. Fomin and published by . This book was released on 2003 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Kenth Engø
Publisher :
ISBN 13 :
Total Pages : 24 pages
Book Rating : 4.E/5 ( download)
Download or read book On the BCH-formula in SO(3) written by Kenth Engø and published by . This book was released on 2000 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:
