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arXiv · 1607.03470

Jucys-Murphy elements for Soergel bimodules

S. Ryom-Hansen
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Abstract

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.

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BibTeXRIS

S. Ryom-Hansen. 2016-07-12. Jucys-Murphy elements for Soergel bimodules. https://arxiv.org/abs/1607.03470

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