Unitary Representations Of Solvable Lie Groups
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Unitary Representations Of Solvable Lie Groups
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Author : Louis Auslander
language : en
Publisher: American Mathematical Soc.
Release Date : 1966
Unitary Representations Of Solvable Lie Groups written by Louis Auslander and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with Group theory categories.
Unitary Representation Theory For Solvable Lie Groups
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Author : Jonathan Paul Brezin
language : en
Publisher: American Mathematical Soc.
Release Date : 1968
Unitary Representation Theory For Solvable Lie Groups written by Jonathan Paul Brezin and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Lie groups categories.
Representation Theory Of Solvable Lie Groups And Related Topics
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Author : Ali Baklouti
language : en
Publisher: Springer Nature
Release Date : 2021-10-08
Representation Theory Of Solvable Lie Groups And Related Topics written by Ali Baklouti and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-08 with Mathematics categories.
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
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Author : Didier Arnal
language : en
Publisher: Cambridge University Press
Release Date : 2020-04-16
Representations Of Solvable Lie Groups And Their Applications written by Didier Arnal and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-16 with Mathematics categories.
A complete and self-contained account of the basic theory of unitary group representations for graduate students and researchers.
Harmonic Analysis On Exponential Solvable Lie Groups
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Author : Hidenori Fujiwara
language : en
Publisher: Springer
Release Date : 2014-12-05
Harmonic Analysis On Exponential Solvable Lie Groups written by Hidenori Fujiwara and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-05 with Mathematics categories.
This book is the first one that brings together recent results on the harmonic analysis of exponential solvable Lie groups. There still are many interesting open problems, and the book contributes to the future progress of this research field. As well, various related topics are presented to motivate young researchers. The orbit method invented by Kirillov is applied to study basic problems in the analysis on exponential solvable Lie groups. This method tells us that the unitary dual of these groups is realized as the space of their coadjoint orbits. This fact is established using the Mackey theory for induced representations, and that mechanism is explained first. One of the fundamental problems in the representation theory is the irreducible decomposition of induced or restricted representations. Therefore, these decompositions are studied in detail before proceeding to various related problems: the multiplicity formula, Plancherel formulas, intertwining operators, Frobenius reciprocity, and associated algebras of invariant differential operators. The main reasoning in the proof of the assertions made here is induction, and for this there are not many tools available. Thus a detailed analysis of the objects listed above is difficult even for exponential solvable Lie groups, and it is often assumed that G is nilpotent. To make the situation clearer and future development possible, many concrete examples are provided. Various topics presented in the nilpotent case still have to be studied for solvable Lie groups that are not nilpotent. They all present interesting and important but difficult problems, however, which should be addressed in the near future. Beyond the exponential case, holomorphically induced representations introduced by Auslander and Kostant are needed, and for that reason they are included in this book.
Representations Of Solvable Lie Groups
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Author : Didier Arnal
language : en
Publisher: Cambridge University Press
Release Date : 2020-04-08
Representations Of Solvable Lie Groups written by Didier Arnal and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-08 with Mathematics categories.
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.
Theory Of Group Representations And Applications
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Author : Asim Orhan Barut
language : en
Publisher: World Scientific
Release Date : 1986
Theory Of Group Representations And Applications written by Asim Orhan Barut and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Mathematics categories.
Lie!algebras - Topological!groups - Lie!groups - Representations - Special!functions - Induced!representations.
Representation Theory Of Lie Groups
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Author : M. F. Atiyah
language : en
Publisher: Cambridge University Press
Release Date : 1979
Representation Theory Of Lie Groups written by M. F. Atiyah and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Mathematics categories.
In 1977 a symposium was held in Oxford to introduce Lie groups and their representations to non-specialists.
Unitary Representation Theory Of Exponential Lie Groups
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Author : Horst Leptin
language : en
Publisher: Walter de Gruyter
Release Date : 2011-06-01
Unitary Representation Theory Of Exponential Lie Groups written by Horst Leptin and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-01 with Mathematics categories.
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 Ceará, 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
Compact Lie Groups And Their Representations
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Author : Dmitriĭ Petrovich Zhelobenko
language : en
Publisher: American Mathematical Soc.
Release Date : 1973-01-01
Compact Lie Groups And Their Representations written by Dmitriĭ Petrovich Zhelobenko and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973-01-01 with Mathematics categories.