Author: Jonathan Paul Brezin
Publisher: American Mathematical Soc.
ISBN: 0821812793
Category : Lie groups
Languages : en
Pages : 132
Book Description
Unitary Representation Theory for Solvable Lie Groups
Author: Jonathan Paul Brezin
Publisher: American Mathematical Soc.
ISBN: 0821812793
Category : Lie groups
Languages : en
Pages : 132
Book Description
Publisher: American Mathematical Soc.
ISBN: 0821812793
Category : Lie groups
Languages : en
Pages : 132
Book Description
Unitary Representations of Solvable Lie Groups
Author: Louis Auslander
Publisher: American Mathematical Soc.
ISBN: 0821812629
Category : Group theory
Languages : en
Pages : 208
Book Description
Publisher: American Mathematical Soc.
ISBN: 0821812629
Category : Group theory
Languages : en
Pages : 208
Book Description
Representation Theory of Solvable Lie Groups and Related Topics
Author: Ali Baklouti
Publisher: Springer Nature
ISBN: 3030820440
Category : Mathematics
Languages : en
Pages : 620
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.
Publisher: Springer Nature
ISBN: 3030820440
Category : Mathematics
Languages : en
Pages : 620
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.
Representations of Solvable Lie Groups and their Applications
Author: Didier Arnal
Publisher: Cambridge University Press
ISBN: 1108428096
Category : Mathematics
Languages : en
Pages : 463
Book Description
A complete and self-contained account of the basic theory of unitary group representations for graduate students and researchers.
Publisher: Cambridge University Press
ISBN: 1108428096
Category : Mathematics
Languages : en
Pages : 463
Book Description
A complete and self-contained account of the basic theory of unitary group representations for graduate students and researchers.
Unitary Representation of Solvable Lie Groups
Author: Louis Auslander
Publisher:
ISBN:
Category :
Languages : en
Pages : 199
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 199
Book Description
Unitary Representation Theory for Solvable Lie Groups
Author: Jonathan Brezin
Publisher:
ISBN:
Category : Algebra, Abstract
Languages : en
Pages : 122
Book Description
Publisher:
ISBN:
Category : Algebra, Abstract
Languages : en
Pages : 122
Book Description
Unitary representations of solvable Lie-groups
Author:
Publisher:
ISBN:
Category :
Languages : fr
Pages : 152
Book Description
Publisher:
ISBN:
Category :
Languages : fr
Pages : 152
Book Description
Unitary Representations of Reductive Lie Groups
Author: David A. Vogan
Publisher: Princeton University Press
ISBN: 9780691084824
Category : Mathematics
Languages : en
Pages : 324
Book Description
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.
Publisher: Princeton University Press
ISBN: 9780691084824
Category : Mathematics
Languages : en
Pages : 324
Book Description
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.
Unitary Representation Theory of Exponential Lie Groups
Author: Horst Leptin
Publisher: Walter de Gruyter
ISBN: 3110874237
Category : Mathematics
Languages : en
Pages : 213
Book Description
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 CearĂ¡, 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
Publisher: Walter de Gruyter
ISBN: 3110874237
Category : Mathematics
Languages : en
Pages : 213
Book Description
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 CearĂ¡, 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
Representations of Solvable Lie Groups
Author: Didier Arnal
Publisher: Cambridge University Press
ISBN: 1108651933
Category : Mathematics
Languages : en
Pages : 464
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.
Publisher: Cambridge University Press
ISBN: 1108651933
Category : Mathematics
Languages : en
Pages : 464
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.