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.
Banica, T. (2019). Quantum groups, from a functional analysis perspective. Advances in Operator Theory, 4(1), 164-196. doi: 10.15352/aot.1804-1342
MLA
Teodor Banica. "Quantum groups, from a functional analysis perspective". Advances in Operator Theory, 4, 1, 2019, 164-196. doi: 10.15352/aot.1804-1342
HARVARD
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
VANCOUVER
Banica, T. Quantum groups, from a functional analysis perspective. Advances in Operator Theory, 2019; 4(1): 164-196. doi: 10.15352/aot.1804-1342
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