Quantum groups, from a functional analysis perspective

Teodor Banica

Quantum groups, from a functional analysis perspective

Quantum Algebra 2018-10-02 v1

Authors: Teodor Banica

Abstract

It is well-known that any compact Lie group appears as closed subgroup of a unitary group, $G\subset U_N$ . The unitary group $U_N$ has a free analogue $U_N^+$ , and the study of the closed quantum subgroups $G\subset U_N^+$ is a problem of general interest. We review here the basic tools for dealing with such quantum groups, with all the needed preliminaries included, and we discuss as well a number of more advanced topics.

Keywords

quantum groups finite group theory groupoid actions

Cite

@article{arxiv.1804.03741,
  title  = {Quantum groups, from a functional analysis perspective},
  author = {Teodor Banica},
  journal= {arXiv preprint arXiv:1804.03741},
  year   = {2018}
}

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32 pages

Quantum groups, from a functional analysis perspective

Abstract

Keywords

Cite

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