报告题目：\Delta-radical and \Delta-socle Filtration for Quasi-hereditary Algebras

主 讲 人：方明

单 位：中科院数学与系统科学研究院

时 间：5月19日9:00

腾 讯 ID：357 347 208

摘 要：

Quasi-hereditary algebras introduced by Cline, Parshall and Scott are mainly devised to study those algebras arising from algebraic Lie theory. Prominent examples include Schur algebras, block algebras of BGG category O and their variations. In the study of such algebras, modules with \Delta-filtration are of central importance.In this talk, we consider for each such a module, instead of its usual radical and socle filtration, the so-called \Delta-radical and \Delta-socle filtration. We study the properties of these filtrations, and apply them to the study of Schur algebras. This is based on a joint work with Professor Jun Hu, still in progress.

简 介：

方明，中科院数学与系统科学研究院研究员。2006在中国科学技术大学取得博士学位，研究领域为代数表示论。在有限维代数代数的dominant维数，Schur-Weyl对偶和拟遗传代数等的研究有一系列影响性的研究工作。相关工作发表在Trans.AMS，J.reine angew.Math.，Adv. Math.，J. Alg.等知名期刊。