Quantum Groups: A Path to Current Algebra
(Part of the Australian Mathematical Society Lecture Series)
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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.
Format:Paperback
Language:English
ISBN:0521695244
ISBN13:9780521695244
Release Date:January 2007
Publisher:Cambridge University Press
Length:160 Pages
Weight:0.65 lbs.
Dimensions:0.4" x 5.9" x 8.9"
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