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Author : Nolan R. Wallach
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.99/5 ( download)
Download or read book Real Reductive Groups written by Nolan R. Wallach and published by . This book was released on 1988 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Brian Hall
Publisher : Springer
ISBN 13 : 3319134671
Total Pages : 452 pages
Book Rating : 4.73/5 ( download)
Download or read book Lie Groups, Lie Algebras, and Representations written by Brian Hall and published by Springer. This book was released on 2015-05-11 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook treats Lie groups, Lie algebras and their representations in an elementary but fully rigorous fashion requiring minimal prerequisites. In particular, the theory of matrix Lie groups and their Lie algebras is developed using only linear algebra, and more motivation and intuition for proofs is provided than in most classic texts on the subject. In addition to its accessible treatment of the basic theory of Lie groups and Lie algebras, the book is also noteworthy for including: a treatment of the Baker–Campbell–Hausdorff formula and its use in place of the Frobenius theorem to establish deeper results about the relationship between Lie groups and Lie algebras motivation for the machinery of roots, weights and the Weyl group via a concrete and detailed exposition of the representation theory of sl(3;C) an unconventional definition of semisimplicity that allows for a rapid development of the structure theory of semisimple Lie algebras a self-contained construction of the representations of compact groups, independent of Lie-algebraic arguments The second edition of Lie Groups, Lie Algebras, and Representations contains many substantial improvements and additions, among them: an entirely new part devoted to the structure and representation theory of compact Lie groups; a complete derivation of the main properties of root systems; the construction of finite-dimensional representations of semisimple Lie algebras has been elaborated; a treatment of universal enveloping algebras, including a proof of the Poincaré–Birkhoff–Witt theorem and the existence of Verma modules; complete proofs of the Weyl character formula, the Weyl dimension formula and the Kostant multiplicity formula. Review of the first edition: This is an excellent book. It deserves to, and undoubtedly will, become the standard text for early graduate courses in Lie group theory ... an important addition to the textbook literature ... it is highly recommended. — The Mathematical Gazette
Author : David A. Vogan Jr.
Publisher : Princeton University Press
ISBN 13 : 1400882389
Total Pages : 319 pages
Book Rating : 4.80/5 ( download)
Download or read book Unitary Representations of Reductive Lie Groups. (AM-118), Volume 118 written by David A. Vogan Jr. and published by Princeton University Press. This book was released on 2016-03-02 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an expanded version of the Hermann Weyl Lectures given at the Institute for Advanced Study in January 1986. It outlines some of what is now known about irreducible unitary representations of real reductive groups, providing fairly complete definitions and references, and sketches (at least) of most proofs. The first half of the book is devoted to the three more or less understood constructions of such representations: parabolic induction, complementary series, and cohomological parabolic induction. This culminates in the description of all irreducible unitary representation of the general linear groups. For other groups, one expects to need a new construction, giving "unipotent representations." The latter half of the book explains the evidence for that expectation and suggests a partial definition of unipotent representations.
Author : David A. Vogan
Publisher : Birkhauser
ISBN 13 :
Total Pages : 782 pages
Book Rating : 4.39/5 ( download)
Download or read book Representations of Real Reductive Lie Groups written by David A. Vogan and published by Birkhauser. This book was released on 1981 with total page 782 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Wilfried Schmid, James Arthur, Peter E. Trapa
Publisher : American Mathematical Soc.
ISBN 13 : 9780821858004
Total Pages : 260 pages
Book Rating : 4.09/5 ( download)
Download or read book Representation Theory of Real Reductive Lie Groups written by Wilfried Schmid, James Arthur, Peter E. Trapa and published by American Mathematical Soc.. This book was released on 2008-10-17 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: The representation theory of real reductive groups is still incomplete, in spite of much progress made thus far. The papers in this volume were presented at the AMS-IMS-SIAM Joint Summer Research Conference ``Representation Theory of Real Reductive Lie Groups'' held in Snowbird, Utah in June 2006, with the aim of elucidating the problems that remain, as well as explaining what tools have recently become available to solve them. They represent a significant improvement in the exposition of some of the most important (and often least accessible) aspects of the literature. This volume will be of interest to graduate students working in the harmonic analysis and representation theory of Lie groups. It will also appeal to experts working in closely related fields.
Author : Jean-Philippe Anker
Publisher : Springer Science & Business Media
ISBN 13 : 0817681922
Total Pages : 341 pages
Book Rating : 4.20/5 ( download)
Download or read book Lie Theory written by Jean-Philippe Anker and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: * First of three independent, self-contained volumes under the general title, "Lie Theory," featuring original results and survey work from renowned mathematicians. * Contains J. C. Jantzen's "Nilpotent Orbits in Representation Theory," and K.-H. Neeb's "Infinite Dimensional Groups and their Representations." * Comprehensive treatments of the relevant geometry of orbits in Lie algebras, or their duals, and the correspondence to representations. * Should benefit graduate students and researchers in mathematics and mathematical physics.
Author : Pavel I. Etingof
Publisher : American Mathematical Soc.
ISBN 13 : 0821853511
Total Pages : 240 pages
Book Rating : 4.11/5 ( download)
Download or read book Introduction to Representation Theory written by Pavel I. Etingof and published by American Mathematical Soc.. This book was released on 2011 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Very roughly speaking, representation theory studies symmetry in linear spaces. It is a beautiful mathematical subject which has many applications, ranging from number theory and combinatorics to geometry, probability theory, quantum mechanics, and quantum field theory. The goal of this book is to give a ``holistic'' introduction to representation theory, presenting it as a unified subject which studies representations of associative algebras and treating the representation theories of groups, Lie algebras, and quivers as special cases. Using this approach, the book covers a number of standard topics in the representation theories of these structures. Theoretical material in the book is supplemented by many problems and exercises which touch upon a lot of additional topics; the more difficult exercises are provided with hints. The book is designed as a textbook for advanced undergraduate and beginning graduate students. It should be accessible to students with a strong background in linear algebra and a basic knowledge of abstract algebra.
Author : Roger W. Carter
Publisher : Cambridge University Press
ISBN 13 : 0521643252
Total Pages : 203 pages
Book Rating : 4.52/5 ( download)
Download or read book Representations of Reductive Groups written by Roger W. Carter and published by Cambridge University Press. This book was released on 1998-09-03 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides a very accessible introduction to the representation theory of reductive algebraic groups.
Author : Dmitriĭ Petrovich Zhelobenko
Publisher : American Mathematical Soc.
ISBN 13 : 9780821886649
Total Pages : 464 pages
Book Rating : 4.49/5 ( download)
Download or read book Compact Lie Groups and Their Representations written by Dmitriĭ Petrovich Zhelobenko and published by American Mathematical Soc.. This book was released on 1973-01-01 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alexander A. Kirillov
Publisher : Cambridge University Press
ISBN 13 : 0521889693
Total Pages : 237 pages
Book Rating : 4.98/5 ( download)
Download or read book An Introduction to Lie Groups and Lie Algebras written by Alexander A. Kirillov and published by Cambridge University Press. This book was released on 2008-07-31 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contemporary introduction to semisimple Lie algebras; concise and informal, with numerous exercises and examples
