Stochastic aspects of easy quantum groups

• 成果类型: Article
• 署名作者: Banica, Teodor; Curran, Stephen; Speicher, Roland
• 署名单位: CY Cergy Paris Universite; University of California System; University of California Berkeley; Queens University - Canada
• 刊物名称: PROBABILITY THEORY AND RELATED FIELDS
• ISSN/ISSBN: 0178-8051
• DOI: 10.1007/s00440-010-0260-4
• 发表日期: 2011
• 页码: 435-462
• 关键词: unitary

摘要

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.