摘要: Let g be a semisimple complex Lie algebra. For a U(g)-module M, let I(M) =Ann(M) be its annihilator ideal in U(g). The zero set of the graded ideal gr(I(M)) of S(g) = gr(U(g)) in the dual vector space g* of g is called the annihilator variety of M, which is also called the associated variety of I(M). A two-sided ideal in U(g) is called primitive if it is the annihilator of an irreducible representation of g. In 1985, Joseph proved that the associated variety of a primitive ideal is the Zariski closure of a nilpotent orbit in g*. In this talk, we will give a combinatorial characterization of the nilpotent orbit appeared in the annihilator variety of a highest weight module for classical Lie algebras.

主讲人简介:白占强,苏州大学数学科学学院副教授，硕士生导师，主要从事李群和李代数表示理论相关的研究工作。在Science China-Mathematics、Journal of the London Mathematical Society、International Mathematics Research Notices、Representation Theory、Journal of Pure and Applied Algebra等国际重要学术期刊发表论文20余篇。先后主持过博士后基金面上项目，国家自然科学基金青年基金，目前参与面上项目一项。

邀请人：栾永志  数学学院助理研究员

时间：11月21日（周五）14：00–15：30

地点：腾讯会议 866-462-376