Quantum groups, from a functional analysis perspective
Abstract
It is well-known that any compact Lie group appears as closed subgroup of a unitary group, G⊂ UN. The unitary group UN has a free analogue UN+, and the study of the closed quantum subgroups G⊂ UN+ 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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