Representation Theory And Analysis On Homogeneous Spaces
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Author | : Semen Grigorʹevich Gindikin |
Publisher | : American Mathematical Soc. |
Total Pages | : 272 |
Release | : 1994 |
Genre | : Mathematics |
ISBN | : 082180300X |
Download Representation Theory and Analysis on Homogeneous Spaces Book in PDF, Epub and Kindle
A combination of new results and surveys of recent work on representation theory and the harmonic analysis of real and p-adic groups. Among the topics are nilpotent homogeneous spaces, multiplicity formulas for induced representations, and new methods for constructing unitary representations of real reductive groups. The 12 papers are from a conference at Rutgers University, February 1993. No index. Annotation copyright by Book News, Inc., Portland, OR
Author | : Toshiyuki Kobayashi |
Publisher | : Japan Playwrights Association |
Total Pages | : 382 |
Release | : 2000 |
Genre | : Mathematics |
ISBN | : |
Download Analysis on Homogeneous Spaces and Representation Theory of Lie Groups, Okayama-Kyoto Book in PDF, Epub and Kindle
This volume is an outgrowth of the activities of the RIMS Research Project, which presented symposia offering both individual lectures on specialized topics and expository courses on current research. The subjects therein reflect very active areas in the representation theory of Lie groups. Also included are various topical interactions with geometry of homogeneous spaces, automorphic forms, quantum groups, special functions, discrete groups, differential equations, and others. Comprising results from active areas of research, this volume should serve as an excellent guide to the representation theory of Lie groups.
Author | : A.A. Kirillov |
Publisher | : Springer Science & Business Media |
Total Pages | : 274 |
Release | : 2013-03-09 |
Genre | : Mathematics |
ISBN | : 3662097567 |
Download Representation Theory and Noncommutative Harmonic Analysis II Book in PDF, Epub and Kindle
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.
Author | : |
Publisher | : |
Total Pages | : 185 |
Release | : 2008 |
Genre | : |
ISBN | : |
Download Representation theory and analysis on homogeneous spaces Book in PDF, Epub and Kindle
Author | : Alexandre Kirillov |
Publisher | : Springer |
Total Pages | : 270 |
Release | : 2012-12-22 |
Genre | : Mathematics |
ISBN | : 9783662097571 |
Download Representation Theory and Noncommutative Harmonic Analysis II Book in PDF, Epub and Kindle
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.
Author | : |
Publisher | : |
Total Pages | : 159 |
Release | : 1991 |
Genre | : |
ISBN | : |
Download Harmonic Analysis on Homogeneous Spaces and Representation Theory of Groups Book in PDF, Epub and Kindle
Author | : Nolan R. Wallach |
Publisher | : Courier Dover Publications |
Total Pages | : 384 |
Release | : 2018-12-12 |
Genre | : Mathematics |
ISBN | : 0486836436 |
Download Harmonic Analysis on Homogeneous Spaces Book in PDF, Epub and Kindle
This book is suitable for advanced undergraduate and graduate students in mathematics with a strong background in linear algebra and advanced calculus. Early chapters develop representation theory of compact Lie groups with applications to topology, geometry, and analysis, including the Peter-Weyl theorem, the theorem of the highest weight, the character theory, invariant differential operators on homogeneous vector bundles, and Bott's index theorem for such operators. Later chapters study the structure of representation theory and analysis of non-compact semi-simple Lie groups, including the principal series, intertwining operators, asymptotics of matrix coefficients, and an important special case of the Plancherel theorem. Teachers will find this volume useful as either a main text or a supplement to standard one-year courses in Lie groups and Lie algebras. The treatment advances from fairly simple topics to more complex subjects, and exercises appear at the end of each chapter. Eight helpful Appendixes develop aspects of differential geometry, Lie theory, and functional analysis employed in the main text.
Author | : Bernhard Krötz |
Publisher | : Springer Science & Business Media |
Total Pages | : 282 |
Release | : 2011-12-14 |
Genre | : Mathematics |
ISBN | : 0817648178 |
Download Representation Theory, Complex Analysis, and Integral Geometry Book in PDF, Epub and Kindle
This volume targets graduate students and researchers in the fields of representation theory, automorphic forms, Hecke algebras, harmonic analysis, number theory.
Author | : Ali Baklouti |
Publisher | : Springer Nature |
Total Pages | : 268 |
Release | : 2021-10-29 |
Genre | : Mathematics |
ISBN | : 3030783464 |
Download Geometric and Harmonic Analysis on Homogeneous Spaces and Applications Book in PDF, Epub and Kindle
This book collects a series of important works on noncommutative harmonic analysis on homogeneous spaces and related topics. All the authors participated in the 6th Tunisian-Japanese conference "Geometric and Harmonic Analysis on homogeneous spaces and Applications" held at Djerba Island in Tunisia during the period of December 16-19, 2019. The aim of this conference and the five preceding Tunisian-Japanese meetings was to keep up with the active development of representation theory interrelated with various other mathematical fields, such as number theory, algebraic geometry, differential geometry, operator algebra, partial differential equations, and mathematical physics. The present volume is dedicated to the memory of Takaaki Nomura, who organized the series of Tunisian-Japanese conferences with great effort and enthusiasm. The book is a valuable resource for researchers and students working in various areas of analysis, geometry, and algebra in connection with representation theory.
Author | : Tullio Ceccherini-Silberstein |
Publisher | : Cambridge University Press |
Total Pages | : 177 |
Release | : 2014-01-16 |
Genre | : Mathematics |
ISBN | : 1107729912 |
Download Representation Theory and Harmonic Analysis of Wreath Products of Finite Groups Book in PDF, Epub and Kindle
This book presents an introduction to the representation theory of wreath products of finite groups and harmonic analysis on the corresponding homogeneous spaces. The reader will find a detailed description of the theory of induced representations and Clifford theory, focusing on a general formulation of the little group method. This provides essential tools for the determination of all irreducible representations of wreath products of finite groups. The exposition also includes a detailed harmonic analysis of the finite lamplighter groups, the hyperoctahedral groups, and the wreath product of two symmetric groups. This relies on the generalised Johnson scheme, a new construction of finite Gelfand pairs. The exposition is completely self-contained and accessible to anyone with a basic knowledge of representation theory. Plenty of worked examples and several exercises are provided, making this volume an ideal textbook for graduate students. It also represents a useful reference for more experienced researchers.