报告题目：Finite W-superalgebras for basic Lie superalgebras
摘要：We consider the finite W -superalgebra U(g,e) for a basic Lie superalgebra g associated with a nilpotent element e both over the field of complex numbers F=C and over F=k an algebraically closed field of positive characteristic. In this talk, we mainly present the PBW theorem for U(g,e). Then the construction of U(g,e) can be understood well, which in contrast with finite W-algebras, is divided into two cases in virtue of the parity of $g(-1)_{\bar{1}}$. This observation will be a basis of our sequent work on the dimensional lower bounds in the super Kac–Weisfeiler property of modular representations of basic Lie superalgebras.
报告人：曾阳博士
报告时间: 2016年4月 14日, 13:00-14:30
报告地点: 1C323
报告人简介：曾阳，南京审计大学应用数学系讲师，主要从事模李代数及模李超代数的研究，在Journal of Algebra, Israel Journal of Mathematics等国际一流数学期刊上发表多篇学术论文。
