New Deformations of Group Algebras of Coxeter Groups, Ii Pavel Etingof and Eric Rains
نویسنده
چکیده
This paper is a sequel of [ER]. Specifically, letW be a Coxeter group, generated by si, i ∈ I. Then, following [ER], one can define a new deformation A+ = A+(W ) of the group algebra Z[W+] of the group W+ of even elements in W . This deformation is an algebra over the ring R = Z[t±1 ijk] = Z[T] of regular functions on a certain torus T of deformation parameters. The main result of [ER] implies that this deformation is flat (i.e., A+ is a flat R-module) if and only if for every triple of indices ∆ = {i, j, k} ⊂ I the corresponding rank 3 parabolic subgroup W∆ ⊂W is infinite. 1
منابع مشابه
New Deformations of Group Algebras of Coxeter Groups
The goal of this paper is to define new deformations of group algebras of Coxeter groups. Recall that a Coxeter group W is generated by elements si, i ∈ I modulo two kinds of relations – the involutivity relations si = 1 and the relations (sisj) mij = 1, where 2 ≤ mij = mji ≤ ∞; in presence of the involutivity relations these are equivalent to the braid relations sisjsi... = sjsisj... (mij fact...
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