English

Unitary representations of the quantum "ax+b" group

Quantum Algebra 2007-05-23 v2 Operator Algebras

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.

Keywords

Cite

@article{arxiv.math/0102151,
  title  = {Unitary representations of the quantum "ax+b" group},
  author = {Malgorzata Rowicka-Kudlicka},
  journal= {arXiv preprint arXiv:math/0102151},
  year   = {2007}
}

Comments

14 pages, LaTeX

R2 v1 2026-07-22T16:37:24.083Z