Introduction to Quantum Group Theory

2002/01/10 by William Gordon Ritter, Ritter, William Gordon
Mathematics · Physics and Astronomy · #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Algebra (math.QA) #math-ph #math.MP #math.QA

paper · pdf · doi:10.48550/arxiv.math/0201080

12 pages

arxiv created 2002/01/10 · arxiv updated 2009/11/30

Abstract

This is a short, self-contained expository survey, focused on algebraic and analytic aspects of quantum groups. Topics covered include the definition of ``quantum group,'' the Yang-Baxter equation, quantized universal enveloping algebras, representations of braid groups, the KZ equations and the Kohno-Drinfeld theorem, and finally compact quantum groups and the analogue of Haar measure for compact quantum groups.

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