Quantum Groups

English

Series: Australian Mathematical Society Lecture Ser.

ISBN: 0511267053

EAN: 9780511267055

Category: Mathematics / Group Theory

Publisher: Cambridge University Press

Release Date: 01/31/2007

Synopsis: 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.

Excerpt: Unknown Property Excerpt

Quantum Groups

Illustrated: No

Format: eBook - PDF

Pages: 260