Fiebig P (2008)
Publication Type: Journal article
Publication year: 2008
Publisher: American Mathematical Society
Book Volume: 360
Pages Range: 4211-4233
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.
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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