An Introduction To Harmonic Analysis On Semisimple Lie Groups

Author : V. S. Varadarajan
Publisher : Cambridge University Press
ISBN 13 : 9780521663625
Total Pages : 326 pages
Book Rating : 4.28/5 ( download)

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Download or read book An Introduction to Harmonic Analysis on Semisimple Lie Groups written by V. S. Varadarajan and published by Cambridge University Press. This book was released on 1999-07-22 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now in paperback, this graduate-level textbook is an introduction to the representation theory of semi-simple Lie groups. As such, it will be suitable for research students in algebra and analysis, and for research mathematicians requiring a readable account of the topic. The author emphasizes the development of the central themes of the sunject in the context of special examples, without losing sight of its general flow and structure. The book concludes with appendices sketching some basic topics with a comprehensive guide to further reading.

Author : Garth Warner
Publisher : Springer Science & Business Media
ISBN 13 : 364250275X
Total Pages : 545 pages
Book Rating : 4.50/5 ( download)

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Download or read book Harmonic Analysis on Semi-Simple Lie Groups I written by Garth Warner and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 545 pages. Available in PDF, EPUB and Kindle. Book excerpt: The representation theory of locally compact groups has been vig orously developed in the past twenty-five years or so; of the various branches of this theory, one of the most attractive (and formidable) is the representation theory of semi-simple Lie groups which, to a great extent, is the creation of a single man: Harish-Chandra. The chief objective of the present volume and its immediate successor is to provide a reasonably self-contained introduction to Harish-Chandra's theory. Granting cer tain basic prerequisites (cf. infra), we have made an effort to give full details and complete proofs of the theorems on which the theory rests. The structure of this volume and its successor is as follows. Each book is divided into chapters; each chapter is divided into sections; each section into numbers. We then use the decimal system of reference; for example, 1. 3. 2 refers to the second number in the third section of the first chapter. Theorems, Propositions, Lemmas, and Corollaries are listed consecutively throughout any given number. Numbers which are set in fine print may be omitted at a first reading. There are a variety of Exam ples scattered throughout the text; the reader, if he is so inclined, can view them as exercises ad libitum. The Appendices to the text collect certain ancillary results which will be used on and off in the systematic exposi tion; a reference of the form A2.

Author : Paul Sally
Publisher : American Mathematical Soc.
ISBN 13 : 0821815261
Total Pages : 350 pages
Book Rating : 4.67/5 ( download)

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Download or read book Representation Theory and Harmonic Analysis on Semisimple Lie Groups written by Paul Sally and published by American Mathematical Soc.. This book was released on 1989 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings together five papers that have been influential in the study of Lie groups. Though published more than 20 years ago, these papers made fundamental contributions that deserve much broader exposure. In addition, the subsequent literature that has subsumed these papers cannot replace the originality and vitality they contain. The editors have provided a brief introduction to each paper, as well as a synopsis of the major developments which have occurred in the area covered by each paper. Included here are the doctoral theses of Arthur, Osborne, and Schmid. Arthur's thesis is closely related to Trombi's paper insofar as both deal with harmonic analysis on real semisimple Lie groups, and, in particular, analysis on the Schwartz space of Harish-Chandra. Arthur's thesis is concerned with the image under the Fourier transform of the Schwartz space of a semisimple Lie group of real rank one, while Trombi's paper provides an expository account of the harmonic analysis associated to the decomposition of the Schwartz space under the regular representation. In his thesis, Osborne extends the Atiyah-Bott fixed point theorem for elliptic complexes to obtain a fixed point formula for complexes that are not elliptic. Schmid proves a generalization of the Borel-Weil theorem concerning an explicit and geometric realization of the irreducible representations of a compact, connected semisimple Lie group. Langlands's fundamental paper provides a classification of irreducible, admissible representations of real reductive Lie groups.

Author : Garth Warner
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.90/5 ( download)

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Download or read book Harmonic Analysis on Semi-simple Lie Groups written by Garth Warner and published by . This book was released on 1972 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Garth Warner
Publisher : Springer Science & Business Media
ISBN 13 : 3642516408
Total Pages : 501 pages
Book Rating : 4.05/5 ( download)

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Download or read book Harmonic Analysis on Semi-Simple Lie Groups II written by Garth Warner and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Garth Warner
Publisher :
ISBN 13 :
Total Pages : 512 pages
Book Rating : 4.51/5 ( download)

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Download or read book Harmonic Analysis on Semi-simple Lie Groups written by Garth Warner and published by . This book was released on 1972 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Joseph Albert Wolf
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.41/5 ( download)

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Download or read book Harmonic Analysis and Representations of Semisimple Lie Groups written by Joseph Albert Wolf and published by . This book was released on 1980 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Joseph Albert Wolf
Publisher : American Mathematical Soc.
ISBN 13 : 0821842897
Total Pages : 408 pages
Book Rating : 4.98/5 ( download)

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Download or read book Harmonic Analysis on Commutative Spaces written by Joseph Albert Wolf and published by American Mathematical Soc.. This book was released on 2007 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: This study starts with the basic theory of topological groups, harmonic analysis, and unitary representations. It then concentrates on geometric structure, harmonic analysis, and unitary representation theory in commutative spaces.

Author : Jean-Philippe Anker
Publisher : Springer Science & Business Media
ISBN 13 : 0817681922
Total Pages : 331 pages
Book Rating : 4.20/5 ( download)

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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 331 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 : Claudio Procesi
Publisher : Springer Science & Business Media
ISBN 13 : 0387289291
Total Pages : 616 pages
Book Rating : 4.98/5 ( download)

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Download or read book Lie Groups written by Claudio Procesi and published by Springer Science & Business Media. This book was released on 2007-10-17 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lie groups has been an increasing area of focus and rich research since the middle of the 20th century. In Lie Groups: An Approach through Invariants and Representations, the author's masterful approach gives the reader a comprehensive treatment of the classical Lie groups along with an extensive introduction to a wide range of topics associated with Lie groups: symmetric functions, theory of algebraic forms, Lie algebras, tensor algebra and symmetry, semisimple Lie algebras, algebraic groups, group representations, invariants, Hilbert theory, and binary forms with fields ranging from pure algebra to functional analysis. By covering sufficient background material, the book is made accessible to a reader with a relatively modest mathematical background. Historical information, examples, exercises are all woven into the text. This unique exposition is suitable for a broad audience, including advanced undergraduates, graduates, mathematicians in a variety of areas from pure algebra to functional analysis and mathematical physics.