Categories Of Symmetries And Infinite Dimensional Groups
DOWNLOAD
Download Categories Of Symmetries And Infinite Dimensional Groups PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Categories Of Symmetries And Infinite Dimensional Groups book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Categories Of Symmetries And Infinite Dimensional Groups
DOWNLOAD
Author : Yu. A. Neretin
language : en
Publisher: Oxford University Press
Release Date : 1996
Categories Of Symmetries And Infinite Dimensional Groups written by Yu. A. Neretin and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Language Arts & Disciplines categories.
For mathematicians working in group theory, the study of the many infinite-dimensional groups has been carried out in an individual and non-coherent way. For the first time, these apparently disparate groups have been placed together, in order to construct the `big picture'. This book successfully gives an account of this - and shows how such seemingly dissimilar types such as the various groups of operators on Hilbert spaces, or current groups are shown to belong to a bigger entitity. This is a ground-breaking text will be important reading for advanced undergraduate and graduate mathematicians.
Categories Of Symmetries And Infinite Dimensional Groups
DOWNLOAD
Author : Yu. A. Neretin
language : en
Publisher:
Release Date : 1996
Categories Of Symmetries And Infinite Dimensional Groups written by Yu. A. Neretin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Lie algebras categories.
Kirillov S Seminar On Representation Theory
DOWNLOAD
Author : Grigori I. Olshanskiĭ
language : en
Publisher: American Mathematical Soc.
Release Date : 1998
Kirillov S Seminar On Representation Theory written by Grigori I. Olshanskiĭ 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 1998 with Representations of algebras categories.
Holomorphy And Convexity In Lie Theory
DOWNLOAD
Author : Karl-Hermann Neeb
language : en
Publisher: Walter de Gruyter
Release Date : 2011-04-20
Holomorphy And Convexity In Lie Theory written by Karl-Hermann Neeb 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 2011-04-20 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
Lie Theory
DOWNLOAD
Author : Jean-Philippe Anker
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Lie Theory written by Jean-Philippe Anker and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Semisimple Lie groups, and their algebraic analogues over fields other than the reals, are of fundamental importance in geometry, analysis, and mathematical physics. Three independent, self-contained volumes, under the general title "Lie Theory," feature survey work and original results by well-established researchers in key areas of semisimple Lie theory. A wide spectrum of topics is treated, with emphasis on the interplay between representation theory and the geometry of adjoint orbits for Lie algebras over fields of possibly finite characteristic, as well as for infinite-dimensional Lie algebras. Also covered is unitary representation theory and branching laws for reductive subgroups, an active part of modern representation theory. Finally, there is a thorough discussion of compactifications of symmetric spaces, and harmonic analysis through a far-reaching generalization of Harish--Chandra's Plancherel formula for semisimple Lie groups. Ideal for graduate students and researchers, "Lie Theory" provides a broad, clearly focused examination of semisimple Lie groups and their integral importance to research in many branches of mathematics.
Symmetry In Geometry And Analysis Volume 2
DOWNLOAD
Author : Michael Pevzner
language : en
Publisher: Springer Nature
Release Date : 2025-02-10
Symmetry In Geometry And Analysis Volume 2 written by Michael Pevzner and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-10 with Mathematics categories.
Symmetry in Geometry and Analysis is a Festschrift honoring Toshiyuki Kobayashi. The three volumes feature 35 selected contributions from invited speakers of twin conferences held in June 2022 in Reims, France, and in September 2022 in Tokyo, Japan. These contributions highlight the profound impact of Prof. Kobayashi’s pioneering ideas, groundbreaking discoveries, and significant achievements in the development of analytic representation theory, noncommutative harmonic analysis, and the geometry of discontinuous groups beyond the Riemannian context, among other areas, over the past four decades. This second volume of the Festschrift contains original articles on analytic methods in representation theory of reductive Lie groups and related topics. Contributions are by Salem Ben Saïd, Valentina Casarino, Paolo Ciatti, Jean-Louis Clerc, Jan Frahm, Joachim Hilgert, Toshihisa Kubo, Khalid Koufany, Quentin Labriet, Karl-Hermann Neeb, Yury Neretin, Gestur Ólafsson, Bent Ørsted, Toshio Oshima, Birgit Speh, Jorge Vargas, and Clemens Weiske.
Lectures On Gaussian Integral Operators And Classical Groups
DOWNLOAD
Author : Yu. A. Neretin
language : en
Publisher: European Mathematical Society
Release Date : 2011
Lectures On Gaussian Integral Operators And Classical Groups written by Yu. A. Neretin and has been published by European Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.
This book is an elementary self-contained introduction to some constructions of representation theory and related topics of differential geometry and analysis. Topics covered include the theory of various Fourier-like integral operators such as Segal-Bargmann transforms, Gaussian integral operators in $L^2$ and in the Fock space, integral operators with theta-kernels, the geometry of real and $p$-adic classical groups and symmetric spaces. The heart of the book is the Weil representation of the symplectic group (real and complex realizations, relations with theta-functions and modular forms, $p$-adic and adelic constructions) and representations in Hilbert spaces of holomorphic functions of several complex variables. This book is addressed to graduate students and researchers in representation theory, differential geometry, and operator theory. Prerequisites are standard university courses in linear algebra, functional analysis, and complex analysis.
The Orbit Method In Geometry And Physics
DOWNLOAD
Author : Christian Duval
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
The Orbit Method In Geometry And Physics written by Christian Duval and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
The volume is dedicated to AA. Kirillov and emerged from an international con ference which was held in Luminy, Marseille, in December 2000, on the occasion 6 of Alexandre Alexandrovitch's 2 th birthday. The conference was devoted to the orbit method in representation theory, an important subject that influenced the de velopment of mathematics in the second half of the XXth century. Among the famous names related to this branch of mathematics, the name of AA Kirillov certainly holds a distinguished place, as the inventor and founder of the orbit method. The research articles in this volume are an outgrowth of the Kirillov Fest and they illustrate the most recent achievements in the orbit method and other areas closely related to the scientific interests of AA Kirillov. The orbit method has come to mean a method for obtaining the representations of Lie groups. It was successfully applied by Kirillov to obtain the unitary rep resentation theory of nilpotent Lie groups, and at the end of this famous 1962 paper, it was suggested that the method may be applicable to other Lie groups as well. Over the years, the orbit method has helped to link harmonic analysis (the theory of unitary representations of Lie groups) with differential geometry (the symplectic geometry of homogeneous spaces). This theory reinvigorated many classical domains of mathematics, such as representation theory, integrable sys tems, complex algebraic geometry. It is now a useful and powerful tool in all of these areas.
Equivalence Invariants And Symmetry
DOWNLOAD
Author : Peter J. Olver
language : en
Publisher: Cambridge University Press
Release Date : 1995-06-30
Equivalence Invariants And Symmetry written by Peter J. Olver 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 1995-06-30 with Mathematics categories.
Drawing on a wide range of mathematical disciplines, including geometry, analysis, applied mathematics and algebra, this book presents an innovative synthesis of methods used to study problems of equivalence and symmetry which arise in a variety of mathematical fields and physical applications. Systematic and constructive methods for solving equivalence problems and calculating symmetries are developed and applied to a wide variety of mathematical systems, including differential equations, variational problems, manifolds, Riemannian metrics, polynomials and differential operators. Particular emphasis is given to the construction and classification of invariants, and to the reductions of complicated objects to simple canonical forms. This book will be a valuable resource for students and researchers in geometry, analysis, algebra, mathematical physics and other related fields.
Locally Finite Root Systems
DOWNLOAD
Author : Ottmar Loos
language : en
Publisher: American Mathematical Soc.
Release Date : 2004
Locally Finite Root Systems written by Ottmar Loos 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 2004 with Mathematics categories.
We develop the basic theory of root systems $R$ in a real vector space $X$ which are defined in analogy to the usual finite root systems, except that finiteness is replaced by local finiteness: the intersection of $R$ with every finite-dimensional subspace of $X$ is finite. The main topics are Weyl groups, parabolic subsets and positive systems, weights, and gradings.