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math.RT2008★ 19 cited
Hecke group algebras as quotients of affine Hecke algebras at level 0
Florent Hivert, Anne Schilling, Nicolas M. Thiéry
The Hecke group algebra of a finite Coxeter group , as introduced by the first and last author, is obtained from by gluing appropriately its 0-Hecke algebra and i…
math.RT2007
The Hecke group algebra of a Coxeter group and its representation theory
Florent Hivert, Nicolas M. Thiéry
Let W be a finite Coxeter group. We define its Hecke-group algebra by gluing together appropriately its group algebra and its 0-Hecke algebra. We describe in detail this algebra (d…
math.RT2006★ 6 cited
Representation theories of some towers of algebras related to the symmetric groups and their Hecke algebras
Florent Hivert, Nicolas M. Thiéry
We study the representation theory of three towers of algebras which are related to the symmetric groups and their Hecke algebras. The first one is constructed as the algebras gene…