学术报告
报告题目：Twisted modules for affine vertex algebras over fields of prime characteristic
报告人：穆强教授
报告时间：2020/11/20 9:40-10:40
报告形式：腾讯会议
会议 ID：699 912 330
报告摘要：In this talk, twisted modules for modular affine vertex algebras 
and for their quotient vertex algebras with a restricted Lie algebra are studied. Let be an automorphism of and let be a positive integer relatively prime with the characteristic such that . It is proved that -graded irreducible -twisted -modules are in one-to-one correspondence with irreducible modules for the restricted enveloping algebra , where is the subalgebra of -fixed points in . It is also proved that when is abelian, the twisted Heisenberg Lie algebra is actually isomorphic to the untwisted Heisenberg Lie algebra , unlike in the case of characteristic zero. Furthermore, for any nonzero level , irreducible -twisted -modules are explicitly classified and the complete reducibility of every -twisted -module is obtained.
报告人简介：穆强，哈尔滨师范大学教授，黑龙江省数学会常务理事，研究方向为顶点算子代数。主持国家自然科学基金面上项目2项，主持完成数学天元青年基金、黑龙江省基金、省教育厅新世纪人才、省教育厅科研项目等多项。在Trans. Amer. Math. Soc.，J. Algebra，J. Pure Appl. Algebra等期刊发表论文10余篇。