Unitary representations of the quantum "ax+b" group

2001/02/19 by Malgorzata Rowicka-Kudlicka, Rowicka-Kudlicka, Malgorzata
Mathematics · #20G42 (Primary) #47L65 #81R15 (Secondary) #FOS: Mathematics #Operator Algebras (math.OA) #Quantum Algebra (math.QA) #math.OA #math.QA #msc:20G42 #msc:47L65 #msc:81R15

paper · pdf · doi:10.48550/arxiv.math/0102151

14 pages, LaTeX

arxiv created 2001/03/02 · arxiv updated 2009/11/30

Abstract

We find all unitary representations of the quantum "ax+b" group. It turns out that this quantum group is selfdual in the sense that all unitary representations are 'numbered' by elements of the same group. Moreover, we discover the formula for all unitary representations involving S.L. Woronowicz's quantum exponential function.

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