dorsal/arxiv
View SchemaIntroduction to quantum groups
| Authors | P. Podles, E. Muller |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9704002 |
| URL | https://arxiv.org/abs/q-alg/9704002 |
| DOI | 10.1142/S0129055X98000173 |
| Journal | Rev. Math. Phys. 10 (1998), 511-551 |
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.
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"abstract": "We give an elementary introduction to the theory of algebraic and topological\nquantum groups (in the spirit of S. L. Woronowicz). In particular, we recall\nthe basic facts from Hopf (*-) algebra theory, theory of compact (matrix)\nquantum groups and the theory of their actions on compact quantum spaces. We\nalso provide the most important examples, including the classification of\nquantum SL(2)-groups, their real forms and quantum spheres. We also consider\nquantum SL_q(N)-groups and quantum Lorentz groups.",
"arxiv_id": "q-alg/9704002",
"authors": [
"P. Podles",
"E. Muller"
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"doi": "10.1142/S0129055X98000173",
"journal_ref": "Rev. Math. Phys. 10 (1998), 511-551",
"title": "Introduction to quantum groups",
"url": "https://arxiv.org/abs/q-alg/9704002"
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