报告时间:2021年4月21日, 10:00-11:00
报告地点:腾讯会议:558 295 983
报告人:舒斌教授(华东师范大学)
报告摘要:An enhanced algebraic group is a product variety $GL(V)\times V$, endowed with an enhanced cross product. Associated with a natural tensor representation, there are naturally Levi and parabolic Schur algebras respectively. We precisely investigate their structures, and study the dualities on the enhanced tensor representations for variant groups and algebras. In this course, an algebraic model of so-called degenerate double Hecke algebras (dDHA) is produced, and becomes a powerful implement. With aid of this, we obtain a parabolic Schur-Weyl duality. The parabolic Schur subalgebra turns out to have only one block. The Cartan invariants for this algebra are precisely determined. This is a joint work with Yunpeng Xue and Yufeng Yao.
报告人简介:舒斌,华东师范大学数学学院教授。长期从事素特征域李理论研究。他的研究受到(曾受到)国家自然科学基金,上海市科学创新基金,霍英东高校青年教师基金的支持。
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