Jucys-Murphy elements for Soergel bimodules

JOURNAL OF ALGEBRA

卷:551

Article

Ryom-Hansen, Steen¹ 

[1] Univ Talca, Inst Matemat & Fis, Talca, Chile

关键词: Soergel bimodules;    Graded cellular algebras;    Jucys-Murphy elements;   

DOI  :  10.1016/j.jalgebra.2020.01.016

来源: Elsevier

【 摘 要 】

We produce Jucys-Murphy elements for the diagrammatical category of Soergel bimodules associated with general Coxeter groups, and use them to diagonalize the bilinear form on the cell modules. This gives rise to an expression for the determinant of the forms and Jantzen type sum formulas. (C) 2020 Published by Elsevier Inc.

【 授权许可】

Free