Geodesic
Signed excedance enumeration in the hyperoctahedral group
Sivaramakrishnan Sivasubramanian1
1Dept of Mathematics, IIT Bombay
The electronic journal of combinatorics, Tome 21 (2014) no. 2
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Several signed excedance-like statistics have nice formulae or generating functions when summed over the symmetric group and over its subset of derangements. We give counterparts of some of these results when we sum over the hyperoctahedral group and its subset of derangements. Our results motivate us to define and derive attractive bivariate formulae which generalise some of these results for the symmetric group.
DOI : 10.37236/3544
Classification : 05A15, 05A05, 05A30, 05A19, 20B30
Mots-clés : signed excedance, permutation group, hyperoctahedral group

Sivaramakrishnan Sivasubramanian  1

1 Dept of Mathematics, IIT Bombay 
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Sivaramakrishnan Sivasubramanian. Signed excedance enumeration in the hyperoctahedral group. The electronic journal of combinatorics, Tome 21 (2014) no. 2. doi: 10.37236/3544

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