Equi-distribution over descent classes of the hyperoctahedral group |
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| Authors: | Ron M. Adin |
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| Affiliation: | a Department of Mathematics and Statistics, Bar-Ilan University, Ramat-Gan 52900, Israel
b Dipartimento di Matematica, Universitá di Roma “Tor Vergata,” Via della Ricerca Scientifica, 00133 Roma, Italy |
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| 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. |
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| Keywords: | Permutation statistics Signed permutations Major index Length Descent class |
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