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CCNU 代数学系列报告 (十一)：Canonical bases for modified quantum supergroup

发布时间：2022-11-23 作者：浏览次数：

Speaker:	顾海霞	DateTime:	2022年12月2日（周五）15:00-16:00
Brief Introduction to Speaker: 顾海霞，湖州师范学院副教授，研究方向为代数群和量子群，已在国际知名数学期刊 Math.Z., JA, Nagoya Math. J., JPAA等发表论文10余篇。		Place:	腾讯会议（31815304736）
Abstract: We extend the construction of the regular (matrix) representation for the quantum linear supergroups U = U(glm\|n) developed in [DZ] to the modified quantum linear supergroups $\dot{U}$. We then obtain a new basis for $\dot{U}$ that is similar to the basis for the algebra K in [BLM, §4] whose Z[υ, v^{-1}]-span $\dot{U}_Z$ becomes an integral form for $\dot{U}$. We also develop a canonical basis theory for $\dot{U}_Z$ and display its connection to the canonical basis for υ-Schur superalgebras.