Introduction to Quantum Groups and Crystal Bases (Graduate Studies in Mathematics) by Jin Hong and Seok-Jin Kang
English | 2002 | ISBN: 0821828746 | ISBN-13: 9780821828748 | 307 pages | DJVU | 3 MB
The notion of a "quantum group" was introduced by V.G. Dinfeld and M. Jimbo, independently, in their study of the quantum Yang-Baxter equation arising from 2-dimensional solvable lattice models. Quantum groups are certain families of Hopf algebras that are deformations of universal enveloping algebras of Kac-Moody algebras.