V. Reiner, Descents and one-dimensional characters for classical Weyl groups, to appear in Disc. Math.. Home/Search Document Not in Database Summary Related Articles Check |
This paper is cited in the following contexts:
CHARACTERS AND INVERSIONS IN THE SYMMETRIC GROUP Anne de .. - Department Of.. Self-citation (Reiner) (Correct)
No context found.
V. Reiner, Descents and one-dimensional characters for classical Weyl groups, to appear in Disc. Math..
On the Charney-Davis and Neggers-Stanley Conjectures - Reiner, Welker Self-citation (Reiner) (Correct)
No context found.
V. Reiner, Descents and one-dimensional characters for classical Weyl groups, Discrete Math. 140 (1995), 129--140.
On the Charney-Davis and Neggers-Stanley Conjectures - Reiner, Welker Self-citation (Reiner) (Correct)
No context found.
V. Reiner, Descents and one-dimensional characters for classical Weyl groups, Discrete Math. 140 (1995), 129--140.
The Distribution Of Descents And Length In A Coxeter Group - Reiner (1995) (7 citations) Self-citation (Reiner) (Correct)
....distribution of W by abuse of notation. We caution the reader that this is not the same notion as the q Eulerian polynomial considered in [Br] for W = Bn ; Dn ) Analogous generating functions to equation (1) for the infinite families of finite Coxeter groups W = Bn( Cn ) Dn were computed in [Re1,Re2]. Note that in the case of an infinite Coxeter group W , the Eulerian distribution P w2W t des(w) does not make sense as a formal power series in t, since there are only finitely many values f0; 1; 2; jSj Gamma 1g of des(w) and hence infinitely many group elements w with the same ....
.... a generating function encompassing the q Eulerian distributions of the entire family of groups as in equation (1) We derive a general result (Theorem 4) along these lines, and use it to recover known generating functions for the classical Weyl groups of types An( Sn 1 ) Bn( Cn ) Dn (see [St,Re1,Re2]) and derive new results for the infinite families An ; Bn ; Cn ; Dn of the electronic journal of combinatorics 2 (1995) #R25 3 affine Weyl groups. For example, we show for the affine Weyl groups Sn( An Gamma1 ) associated to the symmetric groups Sn that X n1 x n 1 ....
V. Reiner, Descents and one-dimensional characters for classical Weyl groups, Disc. Math. 140 (1995), 129-140.
Online articles have much greater impact More about CiteSeer.IST Add search form to your site Submit documents Feedback
CiteSeer.IST - Copyright Penn State and NEC