Equivalences entre conjectures de Soergel

Details Equivalences entre conjectures de Soergel Equivalences entre conjectures de Soergel

2008-02-21

arxiv.org/abs/0802.3031v1

Mathematics

Representation Theory

12 pages

Scientific paper

Soergel's category B_k(V) over a field k is defined from a Coxeter system (W,S) and a k-linear representation V of W. It's a categorification of the Hecke algebra of (W,S). In this article we prove that for some representations V and V' of W, Soergel's conjecture over B_k(V') is equivalent to that over B_k(V). In particular, when k=IR we can choose V' to be the geometric representation.

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