منابع مشابه
Hankel Pfaffians, Discriminants and Kazhdan-Lusztig bases
We use Kazhdan-Lusztig bases of representations of the symmetric group to express Pfaffians with entries (ai−aj)hi+j . In the case where the parameters ai are specialized to successive powers of q, and the hi are complete functions, we obtain the q-discriminant. 1 ’ ooo oo o ’ ooo oo o ’ ooo oo o ’ ooo oo o ’ ooo oo o ’ ooo oo o ’ ooo oo o ’ ooo oo o ’ ooo oo o ’ ooo oo o ’ ooo oo o ’ ooo oo o ...
متن کاملKazhdan-lusztig Cells
These are notes for a talk on Kazhdan-Lusztig Cells for Hecke Algebras. In this talk, we construct the Kazhdan-Lusztig basis for the Hecke algebra associated to an arbitrary Coxeter group, in full multiparameter generality. We then use this basis to construct a partition of the Coxeter group into the Kazhdan-Lusztig cells and describe the corresponding cell representations. Finally, we speciali...
متن کاملRelative Kazhdan–lusztig Cells
In this paper, we study the Kazhdan–Lusztig cells of a Coxeter group W in a “relative” setting, with respect to a parabolic subgroup WI ⊆ W . This relies on a factorization of the Kazhdan–Lusztig basis {Cw} of the corresponding (multi-parameter) Iwahori–Hecke algebra with respect to WI . We obtain two applications to the “asymptotic case” in type Bn, as introduced by Bonnafé and Iancu: we show ...
متن کامل2 00 7 Generalized Jones Traces and Kazhdan – Lusztig Bases
We develop some applications of certain algebraic and combinatorial conditions on the elements of Coxeter groups, such as elementary proofs of the pos-itivity of certain structure constants for the associated Kazhdan–Lusztig basis. We also explore some consequences of the existence of a Jones-type trace on the Hecke algebra of a Coxeter group, such as simple procedures for computing leading ter...
متن کاملLinear Algebra Construction of Formal Kazhdan-lusztig Bases
General facts of linear algebra are used to give proofs for the (wellknown) existence of analogs of Kazhdan-Lusztig polynomials corresponding to formal analogs of the Kazhdan-Lusztig involution, and of explicit formulae (some new, some known) for their coefficients in terms of coefficients of other natural families of polynomials (such as the corresponding formal analogs of the Kazhdan-Lusztig ...
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ژورنال
عنوان ژورنال: Annales de l’institut Fourier
سال: 2012
ISSN: 0373-0956,1777-5310
DOI: 10.5802/aif.2687