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Quantum Groups: A Path to Current Algebra Paperback - 2007 - 1st Edition
by Ross Street
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Summary
Algebra has moved well beyond the topics discussed in standard undergraduate texts on ¬emodern algebra¬i. Those books typically dealt with algebraic structures such as groups, rings and fields: still very important concepts! However Quantum Groups: A Path to Current Algebra is written for the reader at ease with at least one such structure and keen to learn the latest algebraic concepts and techniques. A key to understanding these new developments is categorical duality. A quantum group is a vector space with structure. Part of the structure is standard: a multiplication making it an ¬ealgebra¬i. Another part is not in those standard books at all: a comultiplication, which is dual to multiplication in the precise sense of category theory, making it a ¬ecoalgebra¬i. While coalgebras, bialgebras and Hopf algebras have been around for half a century, the term ¬equantum group¬i, along with revolutionary new examples, was launched by Drinfel'd in 1986.
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Details
- Title Quantum Groups: A Path to Current Algebra
- Author Ross Street
- Binding Paperback
- Edition number 1st
- Edition 1
- Pages 160
- Volumes 1
- Language ENG
- Publisher Cambridge University Press
- Publication date 2007-01-18
- Illustrated Yes
- Features Bibliography, Illustrated, Index, Maps, Table of Contents
- ISBN 9780521695244 / 0521695244
- Weight 0.48 lbs (0.22 kg)
- Dimensions 8.9 x 5.9 x 0.4 in (22.61 x 14.99 x 1.02 cm)
- Category Mathematics
- Library of Congress subjects Algebra, Quantum groups
- Library of Congress Catalogue Number 2007273697
- Dewey Decimal Code 512.55
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