English

Trace of powers of representations of finite quantum groups

Quantum Algebra 2019-05-14 v2

Abstract

In this paper we study (asymptotic) properties of the *-distribution of irreducible characters of finite quantum groups. We proceed in two steps, first examining the representation theory to determine irreducible representations and their powers, then we study the *-distribution of their trace with respect to the Haar measure. For the Sekine family we look at the asymptotic distribution (as the dimension of the algebra goes to infinity).

Keywords

Cite

@article{arxiv.1811.00795,
  title  = {Trace of powers of representations of finite quantum groups},
  author = {Isabelle Baraquin},
  journal= {arXiv preprint arXiv:1811.00795},
  year   = {2019}
}