Infinite Dimensional Lie Groups

DOWNLOAD

Download Infinite Dimensional Lie Groups PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Infinite Dimensional Lie 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

Infinite Dimensional Lie Groups

DOWNLOAD
Author : Hideki Omori
language : en
Publisher: American Mathematical Soc.
Release Date : 2017-11-07

Infinite Dimensional Lie Groups written by Hideki Omori 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 2017-11-07 with categories.

This book develops, from the viewpoint of abstract group theory, a general theory of infinite-dimensional Lie groups involving the implicit function theorem and the Frobenius theorem. Omori treats as infinite-dimensional Lie groups all the real, primitive, infinite transformation groups studied by E. Cartan. The book discusses several noncommutative algebras such as Weyl algebras and algebras of quantum groups and their automorphism groups. The notion of a noncommutative manifold is described, and the deformation quantization of certain algebras is discussed from the viewpoint of Lie algebras. This edition is a revised version of the book of the same title published in Japanese in 1979.

Infinite Dimensional Lie Algebras

DOWNLOAD
Author : Victor G. Kac
language : en
Publisher: Cambridge University Press
Release Date : 1990

Infinite Dimensional Lie Algebras written by Victor G. Kac 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 1990 with Mathematics categories.

The third, substantially revised edition of a monograph concerned with Kac-Moody algebras, a particular class of infinite-dimensional Lie albegras, and their representations, based on courses given over a number of years at MIT and in Paris.

Infinite Dimensional Lie Groups

DOWNLOAD
Author : Hideki Ōmori
language : en
Publisher:
Release Date : 1997

Infinite Dimensional Lie Groups written by Hideki Ōmori and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Infinite-dimensional manifolds categories.

Infinite Dimensional Lie Transformation Groups

DOWNLOAD
Author : H. Omori
language : en
Publisher: Springer
Release Date : 2006-11-15

Infinite Dimensional Lie Transformation Groups written by H. Omori and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.

Infinite Dimensional Lie Algebras

DOWNLOAD
Author : Minoru Wakimoto
language : en
Publisher: American Mathematical Soc.
Release Date : 2001

Infinite Dimensional Lie Algebras written by Minoru Wakimoto 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 2001 with Mathematics categories.

This volume begins with an introduction to the structure of finite-dimensional simple Lie algebras, including the representation of ${\widehat {\mathfrak {sl}}}(2, {\mathbb C})$, root systems, the Cartan matrix, and a Dynkin diagram of a finite-dimensional simple Lie algebra. Continuing on, the main subjects of the book are the structure (real and imaginary root systems) of and the character formula for Kac-Moody superalgebras, which is explained in a very general setting. Only elementary linear algebra and group theory are assumed. Also covered is modular property and asymptotic behavior of integrable characters of affine Lie algebras. The exposition is self-contained and includes examples. The book can be used in a graduate-level course on the topic.

Analytische Psychosentherapie

DOWNLOAD
Author : Paul Matussek
language : en
Publisher:
Release Date : 1993-06-01

Analytische Psychosentherapie written by Paul Matussek and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-06-01 with Psychology categories.

Infinite Dimensional Lie Groups In Geometry And Representation Theory

DOWNLOAD
Author : Augustin Banyaga
language : en
Publisher: World Scientific
Release Date : 2002-07-12

Infinite Dimensional Lie Groups In Geometry And Representation Theory written by Augustin Banyaga and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-07-12 with Science categories.

This book constitutes the proceedings of the 2000 Howard conference on “Infinite Dimensional Lie Groups in Geometry and Representation Theory”. It presents some important recent developments in this area. It opens with a topological characterization of regular groups, treats among other topics the integrability problem of various infinite dimensional Lie algebras, presents substantial contributions to important subjects in modern geometry, and concludes with interesting applications to representation theory. The book should be a new source of inspiration for advanced graduate students and established researchers in the field of geometry and its applications to mathematical physics.

Analysis On Infinite Dimensional Lie Groups And Algebras Proceedings Of The International Colloquium

DOWNLOAD
Author : Jean Marion
language : en
Publisher: World Scientific
Release Date : 1998-10-30

Analysis On Infinite Dimensional Lie Groups And Algebras Proceedings Of The International Colloquium written by Jean Marion and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-10-30 with categories.

This proceedings volume can be considered as a monograph on the state-of-the-art in the wide range of analysis on infinite-dimensional algebraic-topological structures. Topics covered in this volume include integrability and regularity for Lie groups and Lie algebras, actions of infinite-dimensional Lie groups on manifolds of paths and related minimal orbits, quasi-invariant measures, white noise analysis, harmonic analysis on generalized convolution structures, and noncommutative geometry. A special feature of this volume is the interrelationship between problems of pure and applied mathematics and also between mathematics and physics.

Infinite Dimensional Lie Algebras

DOWNLOAD
Author : R.K. Amayo
language : en
Publisher: Springer
Release Date : 2014-01-14

Infinite Dimensional Lie Algebras written by R.K. Amayo and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-14 with Mathematics categories.

It is only in recent times that infinite-dimensional Lie algebras have been the subject of other than sporadic study, with perhaps two exceptions: Cartan's simple algebras of infinite type, and free algebras. However, the last decade has seen a considerable increase of interest in the subject, along two fronts: the topological and the algebraic. The former, which deals largely with algebras of operators on linear spaces, or on manifolds modelled on linear spaces, has been dealt with elsewhere*). The latter, which is the subject of the present volume, exploits the surprising depth of analogy which exists between infinite-dimen sional Lie algebras and infinite groups. This is not to say that the theory consists of groups dressed in Lie-algebraic clothing. One of the tantalising aspects of the analogy, and one which renders it difficult to formalise, is that it extends to theorems better than to proofs. There are several cases where a true theorem about groups translates into a true theorem about Lie algebras, but where the group-theoretic proof uses methods not available for Lie algebras and the Lie-theoretic proof uses methods not available for groups. The two theories tend to differ in fine detail, and extra variations occur in the Lie algebra case according to the underlying field. Occasionally the analogy breaks down altogether. And of course there are parts of the Lie theory with no group-theoretic counterpart.

Infinite Dimensional Lie Algebras

DOWNLOAD
Author : R.K. Amayo
language : en
Publisher: Springer
Release Date : 1974-10-31

Infinite Dimensional Lie Algebras written by R.K. Amayo and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974-10-31 with Mathematics categories.

It is only in recent times that infinite-dimensional Lie algebras have been the subject of other than sporadic study, with perhaps two exceptions: Cartan's simple algebras of infinite type, and free algebras. However, the last decade has seen a considerable increase of interest in the subject, along two fronts: the topological and the algebraic. The former, which deals largely with algebras of operators on linear spaces, or on manifolds modelled on linear spaces, has been dealt with elsewhere*). The latter, which is the subject of the present volume, exploits the surprising depth of analogy which exists between infinite-dimen sional Lie algebras and infinite groups. This is not to say that the theory consists of groups dressed in Lie-algebraic clothing. One of the tantalising aspects of the analogy, and one which renders it difficult to formalise, is that it extends to theorems better than to proofs. There are several cases where a true theorem about groups translates into a true theorem about Lie algebras, but where the group-theoretic proof uses methods not available for Lie algebras and the Lie-theoretic proof uses methods not available for groups. The two theories tend to differ in fine detail, and extra variations occur in the Lie algebra case according to the underlying field. Occasionally the analogy breaks down altogether. And of course there are parts of the Lie theory with no group-theoretic counterpart.