منابع مشابه
Kazhdan-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 کاملKazhdan–lusztig Cells in Infinite Coxeter Groups
Groups defined by presentations of the form 〈s1, . . . , sn | si = 1, (sisj)i,j = 1 (i, j = 1, . . . , n)〉 are called Coxeter groups. The exponents mi,j ∈ N ∪ {∞} form the Coxeter matrix, which characterizes the group up to isomorphism. The Coxeter groups that are most important for applications are the Weyl groups and affine Weyl groups. For example, the symmetric group Sn is isomorphic to the...
متن کاملComputing Kazhdan–lusztig Cells for Unequal Parameters
Following Lusztig, we consider a Coxeter group W together with a weight function L. This gives rise to the pre-order relation 6L and the corresponding partition of W into left cells. We introduce an equivalence relation on weight functions such that, in particular, 6L is constant on equivalent classes. We shall work this out explicitly for W of type F4 and check that several of Lusztig’s conjec...
متن کاملType A molecules are Kazhdan-Lusztig
Let (W,S) be a Coxeter system. A W -graph is an encoding of a representation of the corresponding Iwahori-Hecke algebra. Especially important examples include the W -graph corresponding to the action of the Iwahori-Hecke algebra on the Kazhdan-Lusztig basis as well as this graph’s strongly connected components (cells). In 2008, Stembridge identified some common features of the Kazhdan-Lusztig g...
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: Journal of Algebraic Combinatorics
سال: 2009
ISSN: 0925-9899,1572-9192
DOI: 10.1007/s10801-009-0183-2