Geodesic
Mac{M}ahon-type identities for signed even permutations
The electronic journal of combinatorics, Tome 11 (2004) no. 1

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MacMahon's classic theorem states that the length and major index statistics are equidistributed on the symmetric group $S_n$. By defining natural analogues or generalizations of those statistics, similar equidistribution results have been obtained for the alternating group $A_n$ by Regev and Roichman, for the hyperoctahedral group $B_n$ by Adin, Brenti and Roichman, and for the group of even-signed permutations $D_n$ by Biagioli. We prove analogues of MacMahon's equidistribution theorem for the group of signed even permutations and for its subgroup of even-signed even permutations.
DOI : 10.37236/1836
Classification : 05A15, 05A05
Mots-clés : signed even permutations, length function, major index, distribution of permutation statistics, MacMahon's equidistribution theorem 
Dan Bernstein. Mac{M}ahon-type identities for signed even permutations. The electronic journal of combinatorics, Tome 11 (2004) no. 1. doi: 10.37236/1836
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     author = {Dan Bernstein},
     title = {Mac{M}ahon-type identities for signed even permutations},
     journal = {The electronic journal of combinatorics},
     year = {2004},
     volume = {11},
     number = {1},
     doi = {10.37236/1836},
     zbl = {1065.05004},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/1836/}
}
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