报告题目 (Title)：Universal Capelli identity and quantum immanants for the queer Lie superalgebra（奇异李超代数的通用Capelli恒等式与量子内蕴数）
报告人 (Speaker)：Iryna Kashuba（南方科技大学）
报告时间 (Time)：2026年4月1日（周三）16:00
报告地点 (Place)：宝山校区F309
邀请人(Inviter)：张红莲
主办部门：理学院数学系
报告摘要：We apply the recently introduced idempotents for the Sergeev superalgebra to construct quantum immanants for the queer Lie superalgebra $q_N$ as central elements of its universal enveloping algebra. We prove a universal Capelli identity for $q_N$ and use it to calculate the images of the quantum immanants under the action of $q_N$ in differential operators. We show that the Harish-Chandra images of the quantum immanants coincide with the factorial Schur $Q$-polynomials. This is joint work with Alexander Molev
