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Author: Didier Arnal
Publisher: Cambridge University Press
ISBN: 1108428096
Category : Mathematics
Languages : en
Pages : 463
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Book Description
A complete and self-contained account of the basic theory of unitary group representations for graduate students and researchers.
Author: Didier Arnal
Publisher: Cambridge University Press
ISBN: 1108428096
Category : Mathematics
Languages : en
Pages : 463
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Book Description
A complete and self-contained account of the basic theory of unitary group representations for graduate students and researchers.
Author: Ali Baklouti
Publisher:
ISBN: 9783030820459
Category :
Languages : en
Pages : 0
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Book Description
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.
Author: Louis Auslander
Publisher: American Mathematical Soc.
ISBN: 0821812629
Category : Group theory
Languages : en
Pages : 208
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Book Description
Author: Jonathan Paul Brezin
Publisher: American Mathematical Soc.
ISBN: 0821812793
Category : Lie groups
Languages : en
Pages : 132
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Book Description
Author: Ali Baklouti
Publisher: Springer Nature
ISBN: 3030820440
Category : Mathematics
Languages : en
Pages : 620
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Book Description
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.
Author: Alexander A. Kirillov
Publisher: Cambridge University Press
ISBN: 0521889693
Category : Mathematics
Languages : en
Pages : 237
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Book Description
This book is an introduction to semisimple Lie algebras. It is concise and informal, with numerous exercises and examples.
Author: Didier Arnal
Publisher: Cambridge University Press
ISBN: 1108682189
Category : Mathematics
Languages : en
Pages : 463
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Book Description
The theory of unitary group representations began with finite groups, and blossomed in the twentieth century both as a natural abstraction of classical harmonic analysis, and as a tool for understanding various physical phenomena. Combining basic theory and new results, this monograph is a fresh and self-contained exposition of group representations and harmonic analysis on solvable Lie groups. Covering a range of topics from stratification methods for linear solvable actions in a finite-dimensional vector space, to complete proofs of essential elements of Mackey theory and a unified development of the main features of the orbit method for solvable Lie groups, the authors provide both well-known and new examples, with a focus on those relevant to contemporary applications. Clear explanations of the basic theory make this an invaluable reference guide for graduate students as well as researchers.
Author: J.E. Humphreys
Publisher: Springer Science & Business Media
ISBN: 1461263980
Category : Mathematics
Languages : en
Pages : 189
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Book Description
This book is designed to introduce the reader to the theory of semisimple Lie algebras over an algebraically closed field of characteristic 0, with emphasis on representations. A good knowledge of linear algebra (including eigenvalues, bilinear forms, euclidean spaces, and tensor products of vector spaces) is presupposed, as well as some acquaintance with the methods of abstract algebra. The first four chapters might well be read by a bright undergraduate; however, the remaining three chapters are admittedly a little more demanding. Besides being useful in many parts of mathematics and physics, the theory of semisimple Lie algebras is inherently attractive, combining as it does a certain amount of depth and a satisfying degree of completeness in its basic results. Since Jacobson's book appeared a decade ago, improvements have been made even in the classical parts of the theory. I have tried to incor porate some of them here and to provide easier access to the subject for non-specialists. For the specialist, the following features should be noted: (I) The Jordan-Chevalley decomposition of linear transformations is emphasized, with "toral" subalgebras replacing the more traditional Cartan subalgebras in the semisimple case. (2) The conjugacy theorem for Cartan subalgebras is proved (following D. J. Winter and G. D. Mostow) by elementary Lie algebra methods, avoiding the use of algebraic geometry.
Author: Michael Anthony Erceg
Publisher:
ISBN:
Category :
Languages : en
Pages : 136
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Book Description
Author: Simon Robert Quint
Publisher:
ISBN:
Category : Lie groups
Languages : en
Pages : 322
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Book Description
