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Cell modules of the Green algebras over some Hopf algebras

发布人:日期:2020年11月15日 13:37浏览数:

报告题目:Cell modules of the Green algebras over some Hopf algebras

报 告 人:李立斌教授(扬州大学)

报告时间:20201117日  19:00-20:00

报告地点:腾讯会议(710432210

报告摘要:

Cell modules are very useful to study the representation over the group algebra of Coxeter group and the corresponding Hecke algebra with respect to the Kazhdan-Luszting basis, in general, a positively based algebra. The Green algebra of a Hopf algebra is a positively based algebra with a standard basis of the isoclasses of finite dimensional indecomposable modules over the Hopf algebra. In this talk, we study the structures of the cell modules of the Green algebra R(H) over the Hopf algebra, where H is a pointed rank one Hopf algebra or the Drinfeld quantum double of Sweedler’s 4-dimensional Hopf algebra . This is a joint work with Liufeng Cao, Huixiang Chen and Zhihua Wang .

报告人简介:

李立斌,扬州大学数学科学学院教授、副院长、博士生导师。中国科技大学博士。主要研究Hopf代数与量子群的表示理论、李理论与张量范畴。主持和参与多项国家自然科学基金项目。在《Journal of Agebras》《Contemp. Math》《Alg. Rep.Theory》等国内外刊物上发表论文50余篇。



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