Infinite Dimensional Lie Algebras

Infinite Dimensional Lie Algebras PDF Author: Victor G. Kac
Publisher: Springer Science & Business Media
ISBN: 1475713827
Category : Mathematics
Languages : en
Pages : 267

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Book Description

Infinite Dimensional Lie Algebras

Infinite Dimensional Lie Algebras PDF Author: Victor G. Kac
Publisher: Springer Science & Business Media
ISBN: 1475713827
Category : Mathematics
Languages : en
Pages : 267

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Book Description


Differential Topology, Infinite-Dimensional Lie Algebras, and Applications

Differential Topology, Infinite-Dimensional Lie Algebras, and Applications PDF Author: Alexander Astashkevich
Publisher: American Mathematical Soc.
ISBN: 9780821820322
Category : Mathematics
Languages : en
Pages : 362

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Book Description
This volume presents contributions by leading experts in the field. The articles are dedicated to D.B. Fuchs on the occasion of his 60th birthday. Contributors to the book were directly influenced by Professor Fuchs, and include his students, friends, and professional colleagues. In addition to their research, they offer personal reminicences about Professor Fuchs, giving insight into the history of Russian mathematics.

Differential Topology, Infinite-dimensional Lie Algebras, and Applications

Differential Topology, Infinite-dimensional Lie Algebras, and Applications PDF Author: Aleksandr Astaškevič
Publisher:
ISBN: 9781470434052
Category :
Languages : en
Pages :

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Book Description
This volume presents contributions by leading experts in the field. The articles are dedicated to D.B. Fuchs on the occasion of his 60th birthday. Contributors to the book were directly influenced by Professor Fuchs and include his students, friends, and professional colleagues. In addition to their research, they offer personal reminicences about Professor Fuchs, giving insight into the history of Russian mathematics. The main topics addressed in this unique work are infinite-dimensional Lie algebras with applications (vertex operator algebras, conformal field theory, quantum integrable syst.

Algebraic Structures and Moduli Spaces

Algebraic Structures and Moduli Spaces PDF Author: Jacques Hurtubise and Eyal Markman
Publisher: American Mathematical Soc.
ISBN: 9780821870334
Category : Algebra, Abstract
Languages : en
Pages : 268

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Book Description
This book contains recent and exciting developments on the structure of moduli spaces, with an emphasis on the algebraic structures that underlie this structure. Topics covered include Hilbert schemes of points, moduli of instantons, coherent sheaves and their derived categories, moduli of flat connections, Hodge structures, and the topology of affine varieties. Two beautiful series of lectures are a particularly fine feature of the book. One is an introductory series by Manfred Lehn on the topology and geometry of Hilbert schemes of points on surfaces, and the other, by Hiraku Nakajima and Kota Yoshioka, explains their recent work on the moduli space of instantons over ${\mathbb R 4$. The material is suitable for graduate students and researchers interested in moduli spaces in algebraic geometry, topology, and mathematical physics.

Infinite-Dimensional Lie Groups

Infinite-Dimensional Lie Groups PDF Author: Hideki Omori
Publisher: American Mathematical Soc.
ISBN: 1470426358
Category :
Languages : en
Pages : 434

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Book Description
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.

Lie Groups and Invariant Theory

Lie Groups and Invariant Theory PDF Author: Ėrnest Borisovich Vinberg
Publisher: American Mathematical Soc.
ISBN: 9780821837337
Category : Computers
Languages : en
Pages : 284

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Book Description
This volume, devoted to the 70th birthday of A. L. Onishchik, contains a collection of articles by participants in the Moscow Seminar on Lie Groups and Invariant Theory headed by E. B. Vinberg and A. L. Onishchik. The book is suitable for graduate students and researchers interested in Lie groups and related topics.

Proceedings of the St. Petersburg Mathematical Society

Proceedings of the St. Petersburg Mathematical Society PDF Author: Nina Nikolaevna Uralʹt͡seva
Publisher: American Mathematical Soc.
ISBN: 9780821890707
Category : Mathematical analysis
Languages : en
Pages : 294

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Book Description


Proceedings of the St. Petersburg Mathematical Society, Volume XIV

Proceedings of the St. Petersburg Mathematical Society, Volume XIV PDF Author: Sankt-Peterburgskoe matematicheskoe obshchestvo
Publisher: American Mathematical Soc.
ISBN: 082184802X
Category : Mathematics
Languages : en
Pages : 242

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Book Description
Contains articles on analysis, probability, partial differential operators, frames, and other areas of mathematics. This volume also contains a comprehensive article about the classification of pseudo-regular convex polyhedra. It is suitable for a broad group of graduate students and researchers interested in the topics presented here.

Lie Groups, Lie Algebras, Cohomology and Some Applications in Physics

Lie Groups, Lie Algebras, Cohomology and Some Applications in Physics PDF Author: Josi A. de Azcárraga
Publisher: Cambridge University Press
ISBN: 9780521597005
Category : Mathematics
Languages : en
Pages : 480

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Book Description
A self-contained introduction to the cohomology theory of Lie groups and some of its applications in physics.

Infinite Dimensional Lie Groups In Geometry And Representation Theory

Infinite Dimensional Lie Groups In Geometry And Representation Theory PDF Author: Augustin Banyaga
Publisher: World Scientific
ISBN: 9814488143
Category : Science
Languages : en
Pages : 174

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Book Description
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.