报告题目：Representations of quantum groups and their quantum doubles from quantum quasi-shuffle algebras

报告人：Marc Rosso教授（巴黎七大）

时间：11月22日（周四）下午15:30-16:30

地点：管理科研楼 数学科学学院1308教室

摘要:There is a natural construction of the upper triangular partof quantum groups in the framework of quantum shuffle algebras. Quantized quasi-shuffle algebras generalize in the framework of braided algebras classical constructions going back to Newmann and Radford, which, under other names, received recently a lot of attention in different fields (multiple zeta values, ...). In the quantum framework, they provide elementary constructions of the whole quantum groups and (for free!) of their irreducible representations, and they also give a new perspective on irreducible representations of quantum doubles.

I will review the necessary background, explain the constructions (and give some details), and show their connection/application to Peter-Weyl type theorems.

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