The combinatorics of Coxeter categories

Fiebig P (2008)


Publication Type: Journal article

Publication year: 2008

Journal

Publisher: American Mathematical Society

Book Volume: 360

Pages Range: 4211-4233

Abstract

We present an alternative construction of Soergel's category of bimodules associated to a reflection faithful representation of a Coxeter system. We show that its objects can be viewed as sheaves on the associated moment graph. We introduce an exact structure and show that Soergel's ``special'' bimodules are the projective objects. Then we construct the indecomposable projectives by both a global and a local method, discuss a version of the Kazhdan-Lusztig conjecture and prove it for universal Coxeter systems.

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How to cite

APA:

Fiebig, P. (2008). The combinatorics of Coxeter categories. Transactions of the American Mathematical Society, 360, 4211-4233.

MLA:

Fiebig, Peter. "The combinatorics of Coxeter categories." Transactions of the American Mathematical Society 360 (2008): 4211-4233.

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