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Generalisations of the Tits representation.

Krammer, Daan (2008)

The Electronic Journal of Combinatorics [electronic only]

Generalized descent algebra and construction of irreducible characters of hyperoctahedral groups

Cédric Bonnafé, Christophe Hohlweg (2006)

Annales de l’institut Fourier

We construct a subalgebra $Σ^{'} (W_{n})$ of dimension $2 \cdot 3^{n - 1}$ of the group algebra of the Weyl group $W_{n}$ of type $B_{n}$ containing its usual Solomon algebra and the one of $𝔖_{n}$ : $Σ^{'} (W_{n})$ is nothing but the Mantaci-Reutenauer algebra but our point of view leads us to a construction of a surjective morphism of algebras $Σ^{'} (W_{n}) \to Z Irr (W_{n})$ . Jöllenbeck’s construction of irreducible characters of the symmetric group by using the coplactic equivalence classes can then be transposed to $W_{n}$ . In an appendix, P. Baumann and C. Hohlweg present in an explicit and...

Generalized Induction of Kazhdan-Lusztig cells

Jérémie Guilhot (2009)

Annales de l’institut Fourier

Following Lusztig, we consider a Coxeter group $W$ together with a weight function. Geck showed that the Kazhdan-Lusztig cells of $W$ are compatible with parabolic subgroups. In this paper, we generalize this argument to some subsets of $W$ which may not be parabolic subgroups. We obtain two applications: we show that under specific technical conditions on the parameters, the cells of certain parabolic subgroups of $W$ are cells in the whole group, and we decompose the affine Weyl group of type $G$ into left...

Displaying 1 – 9 of 9

Generalisations of the Tits representation.

Generalized descent algebra and construction of irreducible characters of hyperoctahedral groups

Generalized Induction of Kazhdan-Lusztig cells

Generating series for the Coxeter groups and applications.

Geodesic automation and growth functions for Artin groups of finite type.

Geometrically constructed bases for homology of non-crossing partition lattices.

Geometry and analytic theory of Frobenius manifolds.

Green functions and a conjecture of Geck and Malle.

Growth of planar Coxeter groups, P.V. numbers, and Salem numbers.

Currently displaying 1 – 9 of 9