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Current Algebras and Groups by Jouko Mickelsson (Paperback, 2013)

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Let M be a smooth manifold and G a Lie group. In this book we shall study infinite-dimensional Lie algebras associated both to the group Map(M, G) of smooth mappings from M to G and to the group of dif feomorphisms of M. In the former case the Lie algebra of the group is the algebra Mg of smooth mappings from M to the Lie algebra gof G. In the latter case the Lie algebra is the algebra Vect M of smooth vector fields on M. However, it turns out that in many applications to field theory and statistical physics one must deal with certain extensions of the above mentioned Lie algebras. In the simplest case M is the unit circle SI, G is a simple finite dimensional Lie group and the central extension of Map( SI, g) is an affine Kac-Moody algebra. The highest weight theory of finite dimensional Lie algebras can be extended to the case of an affine Lie algebra. The important point is that Map(Sl, g) can be split to positive and negative Fourier modes and the finite-dimensional piece g corre sponding to the zero mode.

Product Identifiers

Publisher
Springer-Verlag New York Inc.
ISBN-13
9781475702972
eBay Product ID (ePID)
189633862

Product Key Features

Author
Jouko Mickelsson
Publication Name
Current Algebras and Groups
Format
Paperback
Language
English
Subject
Physics
Publication Year
2013
Type
Textbook
Number of Pages
313 Pages

Dimensions

Item Height
235mm
Item Width
155mm
Item Weight
510g

Additional Product Features

Title_Author
Jouko Mickelsson
Series Title
Plenum Monographs in Nonlinear Physics
Country/Region of Manufacture
United States

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Current Algebras and Groups by Jouko Mickelsson (Paperback, 2013)

About this product

Product Information

Product Identifiers

Product Key Features

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Additional Product Features

Best Selling in Adult Learning & University

Permaculture: A Designer's Manual by Bill Mollison (Hardcover, 1988)

Australian Native Bee Book: Keeping Stingless Bee Hives for Pets, Pollination and Sugarbag Honey by Tim Heard (Paperback, 2015)

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