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Representation Theory and Noncommutative Harmonic Analysis II
Author: Alexandre Kirillov
Publisher: Springer
Published: 2012-12-22
Total Pages: 270
ISBN-13: 9783662097571
DOWNLOAD EBOOK →Two surveys introducing readers to the subjects of harmonic analysis on semi-simple spaces and group theoretical methods, and preparing them for the study of more specialised literature. This book will be very useful to students and researchers in mathematics, theoretical physics and those chemists dealing with quantum systems.
Representation Theory and Noncommutative Harmonic Analysis II
Author: A.A. Kirillov
Publisher: Springer Science & Business Media
Published: 2013-03-09
Total Pages: 274
ISBN-13: 3662097567
DOWNLOAD EBOOK →Two surveys introducing readers to the subjects of harmonic analysis on semi-simple spaces and group theoretical methods, and preparing them for the study of more specialised literature. This book will be very useful to students and researchers in mathematics, theoretical physics and those chemists dealing with quantum systems.
Representation Theory and Noncommutative Harmonic Analysis II
Author: Aleksandr Aleksandrovich Kirillov
Publisher: Springer Verlag
Published: 1995
Total Pages: 266
ISBN-13: 9780387547022
DOWNLOAD EBOOK →Noncommutative Harmonic Analysis
Author: Michael Eugene Taylor
Publisher: American Mathematical Soc.
Published: 1986
Total Pages: 346
ISBN-13: 0821815237
DOWNLOAD EBOOK →Explores some basic roles of Lie groups in linear analysis, with particular emphasis on the generalizations of the Fourier transform and the study of partial differential equations.
Representation Theory and Noncommutative Harmonic Analysis I
Author: Alexandre Kirillov
Publisher: Springer
Published: 2014-03-12
Total Pages: 236
ISBN-13: 9783662030035
DOWNLOAD EBOOK →This two-part survey provides a short review of the classical part of representation theory, carefully exposing the structure of the theory without overwhelming readers with details, and deals with representations of Virasoro and Kac-Moody algebra. It presents a wealth of recent results on representations of infinite-dimensional groups.
Representation Theory and Noncommutative Harmonic Analysis I
Author: A.A. Kirillov
Publisher: Springer Science & Business Media
Published: 2013-03-09
Total Pages: 241
ISBN-13: 3662030020
DOWNLOAD EBOOK →This two-part survey provides a short review of the classical part of representation theory, carefully exposing the structure of the theory without overwhelming readers with details, and deals with representations of Virasoro and Kac-Moody algebra. It presents a wealth of recent results on representations of infinite-dimensional groups.
Noncommutative Harmonic Analysis
Author: Patrick Delorme
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 518
ISBN-13: 081768204X
DOWNLOAD EBOOK →Dedicated to Jacques Carmona, an expert in noncommutative harmonic analysis, the volume presents excellent invited/refereed articles by top notch mathematicians. Topics cover general Lie theory, reductive Lie groups, harmonic analysis and the Langlands program, automorphic forms, and Kontsevich quantization. Good text for researchers and grad students in representation theory.
Symmetries and Laplacians
Author: David Gurarie
Publisher: Courier Corporation
Published: 2007-12-21
Total Pages: 466
ISBN-13: 0486462889
DOWNLOAD EBOOK →Designed as an introduction to harmonic analysis and group representations, this book examines concepts, ideas, results, and techniques related to symmetry groups and Laplacians. Its exposition is based largely on examples and applications of general theory, covering a wide range of topics rather than delving deeply into any particular area. Author David Gurarie, a Professor of Mathematics at Case Western Reserve University, focuses on discrete or continuous geometrical objects and structures, such as regular graphs, lattices, and symmetric Riemannian manifolds. Starting with the basics of representation theory, Professor Gurarie discusses commutative harmonic analysis, representations of compact and finite groups, Lie groups, and the Heisenberg group and semidirect products. Among numerous applications included are integrable hamiltonian systems, geodesic flows on symmetric spaces, and the spectral theory of the Hydrogen atom (Schrodinger operator with Coulomb potential) explicated by its Runge-Lenz symmetry. Three helpful appendixes include supplemental information, and the text concludes with references, a list of frequently used notations, and an index.
Non-Abelian Harmonic Analysis
Author: Roger E. Howe
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 271
ISBN-13: 1461392004
DOWNLOAD EBOOK →This book mainly discusses the representation theory of the special linear group 8L(2, 1R), and some applications of this theory. In fact the emphasis is on the applications; the working title of the book while it was being writ ten was "Some Things You Can Do with 8L(2). " Some of the applications are outside representation theory, and some are to representation theory it self. The topics outside representation theory are mostly ones of substantial classical importance (Fourier analysis, Laplace equation, Huyghens' prin ciple, Ergodic theory), while the ones inside representation theory mostly concern themes that have been central to Harish-Chandra's development of harmonic analysis on semisimple groups (his restriction theorem, regularity theorem, character formulas, and asymptotic decay of matrix coefficients and temperedness). We hope this mix of topics appeals to nonspecialists in representation theory by illustrating (without an interminable prolegom ena) how representation theory can offer new perspectives on familiar topics and by offering some insight into some important themes in representation theory itself. Especially, we hope this book popularizes Harish-Chandra's restriction formula, which, besides being basic to his work, is simply a beautiful example of Fourier analysis on Euclidean space. We also hope representation theorists will enjoy seeing examples of how their subject can be used and will be stimulated by some of the viewpoints offered on representation-theoretic issues.
