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Quantum Groups : A Path to Current Algebra - Ross Street

Quantum Groups

A Path to Current Algebra

By: Ross Street, Michael Murray (Editor), Philip Broadbridge (Editor), Chris Heyde (Editor), Charles Pearce (Editor)

Paperback | 18 January 2007

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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 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 '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.
Industry Reviews
"The book is very well written [and] it is quite concise." E.J. Taft, Mathematical Reviews

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