Quantum Groups: A Path to Current Algebra (Paperback) (ISBN-13: 9780521695244)

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.

Author: Ross Street
ISBN-10: 0521695244
ISBN-13: 9780521695244
Publisher: Cambridge University Press
Language: English
Published: 01/18/2007
Pages: 160
Format: Paperback
Weight: 0.48lbs
Size: 8.90h x 5.90w x 0.40d