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Victor G. Kac Infinite-Dimensional Lie Algebras (Paperback)

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Specificaties

Objectstaat
Nieuw: Een nieuw, ongelezen en ongebruikt boek in perfecte staat waarin geen bladzijden ontbreken of ...
Book Title
Infinite-Dimensional Lie Algebras
Publication Name
Infinite-Dimensional Lie Algebras
Title
Infinite-Dimensional Lie Algebras
Author
Victor G. Kac
Format
Trade Paperback
EAN
9780521466936
ISBN
9780521466936
Publisher
Cambridge University Press
Genre
Science Nature & Math
Release Year
1994
Release Date
26/08/1994
Language
English
Country/Region of Manufacture
GB
Item Height
0.9 in
Item Length
9 in
Item Width
6 in
Item Weight
22 Oz
Subject Area
Mathematics
Subject
Algebra / Abstract, Algebra / General
Publication Year
1994
Type
Textbook
Features
Revised
Number of Pages
424 Pages

Over dit product

Product Information

This is the third, substantially revised edition of this important monograph and graduate text. Each chapter begins with a motivating discussion and ends with a collection of exercises, with hints to the more challenging problems. The theory has applications in many areas of mathematics and mathematical physics and these are discussed in relation to the basic theory where appropriate.

Product Identifiers

Publisher
Cambridge University Press
ISBN-10
0521466938
ISBN-13
9780521466936
eBay Product ID (ePID)
390810

Product Key Features

Author
Victor G. Kac
Publication Name
Infinite-Dimensional Lie Algebras
Format
Trade Paperback
Language
English
Features
Revised
Subject
Algebra / Abstract, Algebra / General
Publication Year
1994
Type
Textbook
Subject Area
Mathematics
Number of Pages
424 Pages

Dimensions

Item Length
9 in
Item Height
0.9 in
Item Width
6 in
Item Weight
22 Oz

Additional Product Features

Edition Number
3
Intended Audience
Scholarly & Professional
Edition Description
Revised Edition
Reviews
'A clear account of KacMoody algebras by one of the founders … Eminently suitable as an introduction … with a surprising number of exercises.' American Mathematical Monthly, ' ... a useful contribution. All the basic elements of the subject are covered ... Many results which were previously scattered about in the literature are collected here ... The book also contains many exercises and useful comments ...' Physics in Canada, ' … a useful contribution. All the basic elements of the subject are covered … Many results which were previously scattered about in the literature are collected here … The book also contains many exercises and useful comments …' Physics in Canada, 'A clear account of Kac-Moody algebras by one of the founders ... Eminently suitable as an introduction ... with a surprising number of exercises.' American Mathematical Monthly
Table of Content
Introduction; Notational conventions; 1. Basic definitions; 2. The invariant bilinear form and the generalized casimir operator; 3. Integrable representations of Kac-Moody algebras and the weyl group; 4. A classification of generalized cartan matrices; 5. Real and imaginary roots; 6. Affine algebras: the normalized cartan invariant form, the root system, and the weyl group; 7. Affine algebras as central extensions of loop algebras; 8. Twisted affine algebras and finite order automorphisms; 9. Highest-weight modules over Kac-Moody algebras; 10. Integrable highest-weight modules: the character formula; 11. Integrable highest-weight modules: the weight system and the unitarizability; 12. Integrable highest-weight modules over affine algebras; 13. Affine algebras, theta functions, and modular forms; 14. The principal and homogeneous vertex operator constructions of the basic representation; Index of notations and definitions; References; Conference proceedings and collections of paper.
Dewey Decimal
512/.55
Dewey Edition
19
Illustrated
Yes

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