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Jucys-Murphy elements for Soergel bimodules
Published 12 Jul 2016 in math.RT and math.QA | (1607.03470v7)
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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