Banica, T. (2019). Quantum groups, from a functional analysis perspective. Advances in Operator Theory, 4(1), 164-196. doi: 10.15352/aot.1804-1342
Teodor Banica. "Quantum groups, from a functional analysis perspective". Advances in Operator Theory, 4, 1, 2019, 164-196. doi: 10.15352/aot.1804-1342
Banica, T. (2019). 'Quantum groups, from a functional analysis perspective', Advances in Operator Theory, 4(1), pp. 164-196. doi: 10.15352/aot.1804-1342
Banica, T. Quantum groups, from a functional analysis perspective. Advances in Operator Theory, 2019; 4(1): 164-196. doi: 10.15352/aot.1804-1342
Quantum groups, from a functional analysis perspective
Receive Date: 11 April 2018,
Revise Date: 30 April 2018,
Accept Date: 08 May 2018
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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