By Olivier Schiffman, Pavel Etingof

The textual content covers the fabric offered for a graduate-level direction on quantum teams at Harvard college. The contents disguise: Poisoon algebras and quantization, Poisson-Lie teams, coboundary Lie bialgebras, Drinfelds double development, Belavin-Drinfeld type, countless dimensional Lie bialgebras, Hopf algebras, Quantized common enveloping algebras, formal teams and h-formal teams, countless dimensional quantum teams, the quantum double, tensor different types and quasi Hopf-algebras, braided tensor different types, KZ equations and the Drinfeld type, Quasi-Hpf enveloping algebras, Lie associators, Fiber functors and Tannaka-Driein duality, Quantization of finite Lie bialgebras, common structures, common quantization, Dequantization and the equivalence theorem, KZ associator and a number of zeta services, and Mondoromy of trigonometric KZ equations. Probems are given with every one topic and a solution key's integrated.

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