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5 papers · 2 filters
Presentation of right-angled Soergel categories by generators and relations
Nicolas Libedinsky
Soergel bimodule category B is a categorification of the Hecke algebra of a Coxeter system (W,S). We find a presentation of B (as a tensor category) by generators and relations whe…
On Okuyama's theorems about Alvis-Curtis duality
Marc Cabanes
The purpose of this paper is to report on the unpublished manuscript [O] by T. Okuyama where are proved some conjectures generalizing to homotopy categories the theorems of [CaRi]…
Reflection groups acting on their hyperplanes
Ivan Marin
After having established elementary results on the relationship between a finite complex (pseudo-)reflection group W < GL(V) and its reflection arrangement A, we prove that the act…
Group algebras of finite groups as Lie algebras
Ivan Marin
We consider the natural Lie algebra structure on the (associative) group algebra of a finite group , and show that the Lie subalgebras associated to natural involutive antiautom…
Equivalences entre conjectures de Soergel
Nicolas Libedinsky
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…