English

Quantum "az+b" group at roots of unity: unitary representations

Quantum Algebra 2007-05-23 v1 Operator Algebras

Abstract

All unitary representations of the quantum ``az+b'' group are found. It turns out that this quantum group is self dual i.e. all unitary representations are 'numbered' by elements of the same group. Moreover, the formula for all unitary representations involving the quantum exponential function is proven.

Keywords

Cite

@article{arxiv.math/0108020,
  title  = {Quantum "az+b" group at roots of unity: unitary representations},
  author = {Malgorzata Rowicka},
  journal= {arXiv preprint arXiv:math/0108020},
  year   = {2007}
}

Comments

LaTeX, 13 pages, no figures

R2 v1 2026-07-22T16:39:51.621Z