Quantum Groups: Israel Mathematical Conference Proceedings, Proceedings of a Conference in Memory of Joseph Donin, July 5-12, 2004, Technion-israel Institute of Techn

Donin was published before he completed his MA at Moscow State U. and again before he completed his Ph.D. He proposed a new approach based on the Banach manifold and the Banach Lie group techniques of Douady. His later work on deformations of homomorphic bundles over complex spaces with singularities and versal deformations of germs of complex spaces was even more distinguished. These proceedings of the July 2004 conference reflect the high regard in which contributors held Donin, and include a survey of his research along with such topics as bicrystals and crystal bases, the small quantum group and the Springer resolution, Fourier transforms for Hopf algebras, quantization, basic representations of quantum current algebras in higher genus, Poincare-Birkhoff-Witt expansions of the canonical elliptic differential form, the Drinfeld double for orbifolds, symmetrically factorizable groups and set-theoretical solutions for the pentagon equation, the dynamical reflection equation and Carter-Rieger-Saito movies. Annotation ©2007 Book News, Inc., Portland, OR (booknews.com)