报告人：汪永杰 （合肥工业大学）

报告题目：Howe duality for quantum queer superalgebra 

报告时间：2018年8月22日上午10:00

报告地点：实验楼105

报告摘要：In this talk, We establish a new Howe duality between a pair of quantum queer superalgebras. The key ingredient is the construction of a non-commutative analogue $A_q(q_n, q_m)$ of the symmetric superalgebra S(C^{mn|mn}) with the use of quantum coordinate queer superalgebra. It turns out that this superalgebra is equipped with a $U_q^{−1} (q_n) \otimes U_q(q_m)$- supermodule structure that admits a multiplicity-free decomposition. We also show that the $(U_q^{−1} (q_n), U_q(q_m))$-Howe duality implies the Sergeev-Olshanski duality. If time allows, I will talk something about the first fundanment theorem (FFT) for quantum queer superalgebras. This is my joint work with Z. Chang. 

报告人简介： 汪永杰2014年博士毕业于中国科学技术大学， 2015年-2018年在台湾大学从事博士后研究工作，现在合肥工业大学工作。 

联系人：陈福林助理教授