报告题目：Fundamental Theorems of Invariant Theory for the Quantum General Linear Supergroup

报告摘要：The two pillars of classical invariant theory are the first fundamental theorem (FFT) and second fundamental theorem (SFT) of Weyl, which respectively give the generators and relations for the invariant subring of the polynomial ring under some group action. In this talk, we will give the non-commutative polynomial version of the invariant theory for the quantum general linear supergroup . We construct a non-commutative -module superalgebra, in which the subalgebra of -invariants is shown to be finitely generated. For this invariant subalgebra, we describe explicitly the generators and relations which respectively amount to the FFT and SFT. As application, this recovers relevant results for the quantum general linear group and the general linear superalgebra.

报告人简介：张洋，博士毕业于中国科学技术大学。研究方向为李超群，量子超代数以及Coxeter群。

报告时间：2019年1月17日（周四）上午10：00

报告地点：长清湖校区B434报告厅

欢迎各位老师和同学参加！