Author: V. S. Varadarajan
Publisher: Cambridge University Press
ISBN: 9780521663625
Category : Mathematics
Languages : en
Pages : 326
Book Description
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.
An Introduction to Harmonic Analysis on Semisimple Lie Groups
Author: V. S. Varadarajan
Publisher: Cambridge University Press
ISBN: 9780521663625
Category : Mathematics
Languages : en
Pages : 326
Book Description
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.
Publisher: Cambridge University Press
ISBN: 9780521663625
Category : Mathematics
Languages : en
Pages : 326
Book Description
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.
Harmonic Analysis on Semi-Simple Lie Groups I
Author: Garth Warner
Publisher: Springer Science & Business Media
ISBN: 364250275X
Category : Mathematics
Languages : en
Pages : 545
Book Description
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.
Publisher: Springer Science & Business Media
ISBN: 364250275X
Category : Mathematics
Languages : en
Pages : 545
Book Description
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.
Representation Theory and Harmonic Analysis on Semisimple Lie Groups
Author: Paul Sally
Publisher: American Mathematical Soc.
ISBN: 0821815261
Category : Mathematics
Languages : en
Pages : 350
Book Description
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.
Publisher: American Mathematical Soc.
ISBN: 0821815261
Category : Mathematics
Languages : en
Pages : 350
Book Description
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.
Harmonic Analysis on Semi-simple Lie Groups
Author: Garth Warner
Publisher:
ISBN:
Category : Harmonic analysis
Languages : en
Pages : 0
Book Description
Publisher:
ISBN:
Category : Harmonic analysis
Languages : en
Pages : 0
Book Description
Harmonic Analysis on Semi-Simple Lie Groups II
Author: Garth Warner
Publisher: Springer Science & Business Media
ISBN: 3642516408
Category : Mathematics
Languages : en
Pages : 501
Book Description
Publisher: Springer Science & Business Media
ISBN: 3642516408
Category : Mathematics
Languages : en
Pages : 501
Book Description
Harmonic Analysis on Semisimple Lie Groups
Author: Harish-Chandra
Publisher:
ISBN:
Category : Harmonic analysis
Languages : en
Pages : 40
Book Description
Publisher:
ISBN:
Category : Harmonic analysis
Languages : en
Pages : 40
Book Description
Harmonic Analysis and Representations of Semisimple Lie Groups
Author: Joseph Albert Wolf
Publisher:
ISBN:
Category : Lie groups
Languages : en
Pages : 0
Book Description
Publisher:
ISBN:
Category : Lie groups
Languages : en
Pages : 0
Book Description
Harmonic Analysis on Semi-simple Lie Groups
Author: Garth Warner
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 512
Book Description
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 512
Book Description
Harmonic Analysis on Commutative Spaces
Author: Joseph Albert Wolf
Publisher: American Mathematical Soc.
ISBN: 0821842897
Category : Abelian groups
Languages : en
Pages : 408
Book Description
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.
Publisher: American Mathematical Soc.
ISBN: 0821842897
Category : Abelian groups
Languages : en
Pages : 408
Book Description
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.
Non Commutative Harmonic Analysis and Lie Groups
Author: J. Carmona
Publisher: Springer
ISBN: 3540387838
Category : Mathematics
Languages : en
Pages : 562
Book Description
Publisher: Springer
ISBN: 3540387838
Category : Mathematics
Languages : en
Pages : 562
Book Description