報告題目：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.

報告人：曾陽博士

報告時間: 2016年4月 14日, 13:00-14:30

報告地點: 1C323

報告人簡介：曾陽，南京審計大學應用數學系講師，主要從事模李代數及模李超代數的研究，在Journal of Algebra, Israel Journal of Mathematics等國際一流數學期刊上發表多篇學術論文。