标题：Hecke-Clifford superalgebras and quantum queer superalgebra

报告时间：2025年11月11日（星期二）15:00-16:00

报告地点：线上腾讯会议(会议ID: 758-536-4989)

主讲人： 万金奎

主办单位：数学与统计学院

报告内容简介：

The notion of Hecke-Clifford superalgebra is a superversion of Hecke algebra of type A and its representation theory is parallel to that the Hecke algebras in many aspects. In 1992, Olshanski introduced the notion of quantum queer superalgebras as a q-deformation of the universal enveloping of the queer Lie superalgebras and established duality between Hecke-Clifford superalgebras and quantum queer superalgebras, as a super analog of Jimbo-Schur-Duality.  In this talk, I will discuss some progress on the representation theory of these two algebras including a Frobenius character formula for irreducible representations of Hecke-Clifford algebras and a realization of quantum queer superalgebras via Hecke-Clifford superalgebras. This is partially based on a joint work with Weiqiang Wang and another joint work with Jie Du, Haixia Gu and Zhenhua Li, respectively.

主讲人简介：

       万金奎，北京理工大学数学与统计学院教授，国家级高层次青年人才，北京市优秀人才培养资助计划入选者。博士毕业于美国弗吉尼亚大学，曾访问澳大利亚新南威尔士大学、美国弗吉尼亚大学等。研究方向为李理论与表示论（代数群、量子群、李代数、Hecke代数等代数对象的表示理论以及相应的代数组合理论），研究成果发表在Adv. Math.、Proc. LMS、Trans. AMS、IMRN等国际著名学术期刊。