Introduction to quantum groups

Details Introduction to quantum groups Introduction to quantum groups

1997-04-02

arxiv.org/abs/q-alg/9704002v2

Rev. Math. Phys. 10 (1998), 511-551

Mathematics

Quantum Algebra

very small changes, will appear in Rev. Math. Phys., 46 pages, use commands: csh intro.uu, tex intro (twice)

Scientific paper

10.1142/S0129055X98000173

We give an elementary introduction to the theory of algebraic and topological quantum groups (in the spirit of S. L. Woronowicz). In particular, we recall the basic facts from Hopf (*-) algebra theory, theory of compact (matrix) quantum groups and the theory of their actions on compact quantum spaces. We also provide the most important examples, including the classification of quantum SL(2)-groups, their real forms and quantum spheres. We also consider quantum SL_q(N)-groups and quantum Lorentz groups.

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