Introduction to quantum groups
q-alg
2009-10-30 v2 Quantum Algebra
Abstract
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.
Cite
@article{arxiv.q-alg/9704002,
title = {Introduction to quantum groups},
author = {P. Podles and E. Muller},
journal= {arXiv preprint arXiv:q-alg/9704002},
year = {2009}
}
Comments
very small changes, will appear in Rev. Math. Phys., 46 pages, use commands: csh intro.uu, tex intro (twice)