Jucys-Murphy elements for Soergel bimodules
arXiv:1607.03470
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.
After publication of the paper in J of Algebra H. H. Andersen pointed several inaccuracies out to us, especially in the last section 9 where the A2-calculations are done. The differences from the published version of the paper are essentially due to the corresponding corrections