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 language | English |
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Pages | 469-477 |
Number of pages | 9 |
State | Published - 1 Dec 2006 |
Externally published | Yes |
Event | 18th Annual International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2006 - San Diego, CA, United States Duration: 19 Jun 2006 → 23 Jun 2006 |
Conference
Conference | 18th Annual International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2006 |
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Country/Territory | United States |
City | San Diego, CA |
Period | 19/06/06 → 23/06/06 |
Keywords
- Algebraic combinatorics
- Mahonian statistics
- Permutations groups
- Permutations statistics
- Signed permutations groups
ASJC Scopus subject areas
- Algebra and Number Theory