Statistics on signed permutations groups

Research output: Contribution to conferencePaperpeer-review

Abstract

A classical result of MacMahon shows that the length function and the major index are equi-distributed over the symmetric groups. Through the years this result was generalized in various ways to signed permutation groups. In this paper we present several new generalizations, in particular, we study the effect of different linear orders on the letters [-n, n] and generalize a classical result of Foata and Zeilberger.

Original languageEnglish
Pages469-477
Number of pages9
StatePublished - 1 Dec 2006
Externally publishedYes
Event18th Annual International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2006 - San Diego, CA, United States
Duration: 19 Jun 200623 Jun 2006

Conference

Conference18th Annual International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2006
Country/TerritoryUnited States
CitySan Diego, CA
Period19/06/0623/06/06

Keywords

  • Algebraic combinatorics
  • Mahonian statistics
  • Permutations groups
  • Permutations statistics
  • Signed permutations groups

ASJC Scopus subject areas

  • Algebra and Number Theory

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