標(biāo)題：Hecke-Clifford superalgebras and quantum queer superalgebra
報(bào)告時(shí)間：2025年11月11日（星期二）15:00-16:00
報(bào)告地點(diǎn)：線(xiàn)上騰訊會(huì)議(會(huì)議ID: 758-536-4989)
主講人： 萬(wàn)金奎
主辦單位：數(shù)學(xué)與統(tǒng)計(jì)學(xué)院
報(bào)告內(nèi)容簡(jiǎn)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.
主講人簡(jiǎn)介：
萬(wàn)金奎，北京理工大學(xué)數(shù)學(xué)與統(tǒng)計(jì)學(xué)院教授，國(guó)家級(jí)高層次青年人才，北京市優(yōu)秀人才培養(yǎng)資助計(jì)劃入選者。博士畢業(yè)于美國(guó)弗吉尼亞大學(xué)，曾訪(fǎng)問(wèn)澳大利亞新南威爾士大學(xué)、美國(guó)弗吉尼亞大學(xué)等。研究方向?yàn)槔罾碚撆c表示論（代數(shù)群、量子群、李代數(shù)、Hecke代數(shù)等代數(shù)對(duì)象的表示理論以及相應(yīng)的代數(shù)組合理論），研究成果發(fā)表在A(yíng)dv. Math.、Proc. LMS、Trans. AMS、IMRN等國(guó)際著名學(xué)術(shù)期刊。
