11-19【Marc Rosso】管楼1418 吴文俊数学重点实验室代数学系列报告之159


报告题目:On Feigin homomorphisms for quantum shuffle algebras

报告人:Marc Rosso巴黎七大





摘要: Feigin homomorphisms map the upper triangular part of quantum groups to some quantum (or twisted) polynomial algebras. They are important in the study of their skew fields of quotients. I realized these upper triangular parts of quantum groups as sub Hopf algebras of quantum shuffle algebras. The construction of Feigin homomorphisms has been extended to these quantum shuffle algebras by D. Rupel, with a computational proof. I shall explain a streamlined conceptual approach stressing the universal property of the quantum shuffle algebra, and putting quantum polynomial algebras naturally in this framework. All necessary backgroung will be recalled.




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