Equi-distribution over Descent Classes of the Hyperoctahedral Group

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

A classical result of MacMahon shows that the length function and the major index are equi-distributed over the symmetric group. Foata and Schützenberger gave a remarkable refinement and proved that these parameters are equi-distributed over inverse descent classes, implying bivariate equi-distribution identities. Type $B$ analogues of these results, refinements and consequences are given in this paper.
23 pp., to appear in J. Combin. Theory (Ser. A); reference added in proof

Keywords

Combinatorics, Group Theory

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/76081

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0508362
 http://arxiv.org/abs/math/0508362

Collections

arXiv