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Quantum Groups: A Path to Current Algebra (Australian Mathematical Society Lecture Series, Series Number 19)

Quantum Groups: A Path to Current Algebra (Australian Mathematical Society Lecture Series, Series Number 19)

Quantum Groups: A Path to Current Algebra (Australian Mathematical Society
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Quantum Groups: A Path to Current Algebra (Australian Mathematical Society Lecture Series, Series Number 19) Paperback - 2007 - 1st Edition

by Street, Ross

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Cambridge University Press, 2007-01-29. 1. paperback. New. 6.00x0.40x9.00. Buy with confidence. Excellent Customer Service & Return policy.
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Details

  • Title Quantum Groups: A Path to Current Algebra (Australian Mathematical Society Lecture Series, Series Number 19)
  • Author Street, Ross
  • Binding Paperback
  • Edition number 1st
  • Edition 1
  • Condition New
  • Pages 160
  • Volumes 1
  • Language ENG
  • Publisher Cambridge University Press
  • Publication date 2007-01-29
  • Illustrated Yes
  • Features Bibliography, Illustrated, Index, Maps, Table of Contents
  • Bookseller's Inventory # DADAX0521695244
  • 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)
  • Size 6.00x0.40x9.00
  • Category Mathematics
  • Library of Congress subjects Algebra, Quantum groups
  • Library of Congress Catalogue Number 2007273697
  • Dewey Decimal Code 512.55
  • Quantity available 1

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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.

Reader reviews for Quantum Groups: A Path to Current Algebra (Australian Mathematical Society Lecture Series, Series Number 19)

From the publisher

Algebra has moved well beyond the topics discussed in standard undergraduate texts on 'modern algebra'. 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 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 'algebra'. 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 'coalgebra'. While coalgebras, bialgebras and Hopf algebras have been around for half a century, the term 'quantum group', along with revolutionary new examples, was launched by Drinfel'd in 1986.
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