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arXiv · 1804.03741

Quantum groups, from a functional analysis perspective

Teodor Banica
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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.

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Teodor Banica. 2018-04-10. Quantum groups, from a functional analysis perspective. https://arxiv.org/abs/1804.03741

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