Equi-distribution over descent classes

R.M. Adin; F. Brenti; Y. Roichman

Equi-distribution over descent classes

R.M. Adin, F. Brenti, Y. Roichman

Department of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

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.

Original language	American English
Title of host publication	16th Conference in Formal Power Series and Algebraic Combinatorics
Publisher	electronic
State	Published - 2004

Bibliographical note

Journal of Combinatorial Theory, Series A
Volume 113, Issue 6, August 2006, Pages 917–933;
Place of conference:University of British Columbia, Vancouver B. C., Canada.

Cite this

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title = "Equi-distribution over descent classes",

abstract = "A classical result of MacMahon shows that the length function and the major index are equi-distributed over the symmetric group. Foata and Sch{\"u}tzenberger 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.",

author = "R.M. Adin and F. Brenti and Y. Roichman",

note = "Journal of Combinatorial Theory, Series A Volume 113, Issue 6, August 2006, Pages 917–933; Place of conference:University of British Columbia, Vancouver B. C., Canada.",

year = "2004",

language = "American English",

booktitle = "16th Conference in Formal Power Series and Algebraic Combinatorics",

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AU - Adin, R.M.

AU - Brenti, F.

AU - Roichman, Y.

N1 - Journal of Combinatorial Theory, Series A Volume 113, Issue 6, August 2006, Pages 917–933; Place of conference:University of British Columbia, Vancouver B. C., Canada.

PY - 2004

Y1 - 2004

N2 - 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.

AB - 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.

UR - http://www.sciencedirect.com/science/article/pii/S0097316505001718

M3 - Conference contribution

BT - 16th Conference in Formal Power Series and Algebraic Combinatorics

PB - electronic

ER -

Equi-distribution over descent classes

Abstract

Bibliographical note

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