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Lie Algebras: Pt. 2: Finite and Infinite Dimensional Lie Algebras and Applicatio

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Item specifics

Condition
Good
A book that has been read, but is in good condition. Minimal damage to the book cover eg. scuff marks, but no holes or tears. If this is a hard cover, the dust jacket may be missing. Binding has minimal wear. The majority of pages are undamaged with some creasing or tearing, and pencil underlining of text, but this is minimal. No highlighting of text, no writing in the margins, and no missing pages. See the seller’s listing for full details and description of any imperfections. See all condition definitionsopens in a new window or tab
Seller notes
“Used but like new”
ISBN
9780444828361
Publication Year
1997
Type
Textbook
Format
Hardcover
Language
English
Publication Name
Lie Algebras: Pt. 2: Finite and Infinite Dimensional Lie Algebras and Applications in Physics
Item Height
230mm
Author
E. A. De Kerf, G.G.A. Bauerle, A.P.E. Ten Kroode
Publisher
Elsevier Science & Technology
Subject
Mathematics, Physics
Number of Pages
564 Pages

About this product

Product Information

This is the follow-up to Lie Algebras Part 1 , which covered a major part of the theory of Kac-Moody algebras, stressing primarily their mathematical structure. Part two deals mainly with the representations and applications of lie algebras, and contains many cross-references to Part 1 . The exposition of the theory of Kac-Moody algebras is continued in this volume, starting with an explicit construction of (untwisted) affine Kac-Moody algebras as extensions of loop algebras by a central element and a derivation. Three chapters deal with the representation theory of Kac-Moody algebras and some of the concepts are developed in a more general context, namely that of algebras with a triangular decomposition, of which Kac-Moody algebras are special examples. The basic notion of the representation theory of lie algebras with a triangular decomposition, namely that of a highest weight representation is also dealt with. Integrable highest weight representations are treated in a further chapter, along with the generalized Casimir operator, the standard and grand unified models of elementary particle physics, the theory of soliton equations and the realm of 2D conformal field theory.

Product Identifiers

Publisher
Elsevier Science & Technology
ISBN-13
9780444828361
eBay Product ID (ePID)
90237858

Product Key Features

Author
E. A. De Kerf, G.G.A. Bauerle, A.P.E. Ten Kroode
Publication Name
Lie Algebras: Pt. 2: Finite and Infinite Dimensional Lie Algebras and Applications in Physics
Format
Hardcover
Language
English
Subject
Mathematics, Physics
Publication Year
1997
Type
Textbook
Number of Pages
564 Pages

Dimensions

Item Height
230mm
Volume
V.7

Additional Product Features

Title_Author
G.G.A. Bauerle, A.P.E. Ten Kroode, E. A. De Kerf
Series Title
Studies in Mathematical Physics S.
Country/Region of Manufacture
United Kingdom

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