A generalization of plactic–coplactic equivalences and Kazhdan–Lusztig cells

sion du système local L, défini sur le lieu non singulier X \ X_2 de X, à l’espace total. Cette extension ne produit pas un système local, ni même un faisceau, mais plutôt un

In [7, 8], Lenart and Postnikov introduced the notion of admissible subset in order to compute the product s τ s µ where λ, µ ∈ P + , see Theorem 6.3. In this section we explain

We compute the automorphism groups of all complex reflection groups G(r, p, n) and using this information, we classify precisely which complex reflection groups have

Dans son article [B], Brenti a prouv´ e de mani` ere combinatoire une formule non-r´ ecursive pour les polynˆ omes de Kazhdan-Lusztig d’un groupe de Coxeter (cf le th´ eor` eme 4.1

la mˆeme cellule: c’est la correspondance de Robinson-Schensted (voir [Fu] pour un expos´e d´etaill´e de cette correspondance et de ses applications). Pour donner cette

We show that the equivariant Kazhdan–Lusztig polynomial of a q-niform matroid is the unipotent q-analogue of the equivariant Kazhdan–Lusztig polynomial of the corresponding

full element, 48 matching, 51 orbit, 48 graded poset, 44 Hecke algebra, 22 Kazhdan-Lusztig basis, 27 polynomials, 27 left core of a special matching, 74 of an isomorphism, 74 of

Finally, we point out that our conjecture also makes sense for arbitrary Coxeter groups. It can be checked easily that it holds in the infinite dihedral case; it also follows from