A classical result of MacMahon shows that the length function and the major index are equi-distributed over the symmetric group. Foata and Schatzenberger 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. (c) 2005 Elsevier Inc. All rights reserved.
Adin, R., Brenti, F., Roichman, Y. (2006). Equi-distribution over descent classes of the hyperoctahedral group. JOURNAL OF COMBINATORIAL THEORY. SERIES A, 113(6), 917-933 [10.1016/j.jcta.2005.08.008].
Equi-distribution over descent classes of the hyperoctahedral group
BRENTI, FRANCESCO;
2006-01-01
Abstract
A classical result of MacMahon shows that the length function and the major index are equi-distributed over the symmetric group. Foata and Schatzenberger 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. (c) 2005 Elsevier Inc. All rights reserved.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
