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Sur la cat\'egorie des bimodules de Soergel
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The Soergel category B of a Coxeter system (W,S) is a bimodule category over a polynomial algebra on which W acts. It's a categorification of the Hecke Algebra of (W,S). In this article we give a combinatorial description of morphism spaces in B. As a corollary, we give an analogous description of the morphisms in O_0-proj, where O_0 is the principal block of the BGG category O. ----- La cat\'egorie B de Soergel d'un syst\`eme de Coxeter (W,S) est une cat\'egorie de bimodules sur une alg\`ebre de polyn\^omes sur laquelle W agit. C'est une cat\'egorification de l'alg\`ebre de Hecke de (W,S). Dans cet article nous donnons une description combinatoire des espaces de morphismes dans B. En corollaire, on obtient une description analogue des morphismes dans O_0-proj, o\`u O_0 est le bloc principal de la cat\'egorie O de BGG.
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Cited by 1 Pith paper
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Idempotents, traces, and dimensions in Hecke categories
The paper provides closed formulas for recursible local intersection forms and recursive partial trace formulas that reduce categorical dimensions in asymptotic Hecke categories to diagrammatic computations.
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