arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0905.0432math.RT
收藏

Lascoux、Leclerc和Thibon算法和Soergel倾斜算法

The Lascoux, Leclerc and Thibon algorithm and Soergel's tilting algorithm

Steen Ryom-Hansen

摘要:

本文将Soergel的倾斜算法推广到奇异权,并由此推导出关于Fock模的基本子模的标准基与Heck-代数在单位根上的表示论之间联系的Lascoux-Leclerc-Thibon猜想的有效性.

英文摘要:

We generalize Soergel's tilting algorithm to singular weights and deduce from this the validity of the Lascoux-Leclerc-Thibon conjecture on the connection between the canonical basis of the basic submodule of the Fock module and the representation theory of the Hecke-algebras at root of unity.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑