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.

Quantum Groups: A Path to Current Algebra presents algebraic concepts and techniques.

About the Author
Ross Street is a Professor of Mathematics and Director of the Centre of Australian Category Theory at Macquarie University. He is also a Fellow of the Australian Academy of Science.

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



Book Information
ISBN 9780521695244
Author Ross Street
Format Paperback
Page Count 160
Imprint Cambridge University Press
Publisher Cambridge University Press
Weight(grams) 240g
Dimensions(mm) 229mm * 152mm * 9mm