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方明:\Delta-radical and \Delta-socle Filtration for Quasi-hereditary Algebras(时间5.19)

发布日期:2021-05-17  作者:刘敏  浏览数:

报告人:方明 中科院数学与系统科学研究院

报告时间:5月19日9:00

报告地点:腾讯ID: 357 347 208

主办单位:数学与统计学院

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  报告摘要: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.

  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.eine angew.Math., Adv. Math.,J. Alg.等知名期刊。