Stochastic aspects of easy quantum groups
Operator Algebras
2011-03-18 v1 Probability
Quantum Algebra
Abstract
We consider several orthogonal quantum groups satisfying the easiness assumption axiomatized in our previous paper. For each of them we discuss the computation of the asymptotic law of Tr(u^k) with respect to the Haar measure, u being the fundamental representation. For the classical groups O_n, S_n we recover in this way some well-known results of Diaconis and Shahshahani.
Cite
@article{arxiv.0909.0188,
title = {Stochastic aspects of easy quantum groups},
author = {Teodor Banica and Stephen Curran and Roland Speicher},
journal= {arXiv preprint arXiv:0909.0188},
year = {2011}
}
Comments
28 pages