This revised second edition covers the material presented for a graduate-level course on quantum groups at Harvard University. Topics covered include Poisson algebras and quantization, Poisson-Lie groups, coboundary Lie bialgebras, Drinfelds double construction, Belavin-Drinfeld classification, Infinite dimensional Lie bialgebras, Hopf algebras, Quantized universal enveloping algebras, and more.
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