A Kazhdan-Lusztig Algorithm for Whittaker Modules
نویسندگان
چکیده
منابع مشابه
Implementation of the Kazhdan–Lusztig algorithm
We denote D the set of parameters (of course the existence of the Cayley transform and cross action tables imply that the set D has already been enumerated, and thus identified with a set [0,M [ of integers.) We let M be the free A-module generated by D, where A = Z[v, v−1], and we write q = v2. We replace the canonical basis (Tδ)δ∈D of M by tδ = v Tδ, where l : D → N is the length function (al...
متن کاملImplementation of the Kazhdan–Lusztig algorithm
We denote D the set of parameters (of course the existence of the Cayley transform and cross action tables imply that the set D has already been enumerated, and thus identified with a set [0,M [ of integers.) We let M be the free A-module generated by D, where A = Z[v, v−1], and we write q = v2. We replace the canonical basis (Tδ)δ∈D of M by tδ = v Tδ, where l : D → N is the length function (al...
متن کاملA Path Algorithm for Affine Kazhdan-lusztig Polynomials
Let λ, μ be dominant integral weights of a semisimple Lie algebra g and let l be a positive integer larger than the dual Coxeter number of g. Using these data and certain parabolic Kazhdan-Lusztig polynomials for affine Weyl groups, one can define polynomials nλ,μ in Z[v]. It has been shown recently that theses polynomials can be used to compute the character of indecomposable tilting modules 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 کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Algebras and Representation Theory
سال: 2020
ISSN: 1386-923X,1572-9079
DOI: 10.1007/s10468-019-09934-z