Geodesic
Explicit formulae for kerov polynomials
Journal of Algebraic Combinatorics, Tome 33 (2011) no. 1, pp. 141-151.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We prove two formulae expressing the Kerov polynomial $\Sigma _{ k }$ as a weighted sum over the set of noncrossing partitions of the set ${1,\cdots , k+1}$. We also give a combinatorial description of a family of symmetric functions specializing in the coefficients of $\Sigma _{ k }$.
Keywords: keywords kerov polynomials, noncrossing partitions, symmetric group, normalized characters, symmetric functions 
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     author = {Petrullo, P. and Senato, D.},
     title = {Explicit formulae for kerov polynomials},
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     year = {2011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JAC_2011__33_1_a1/}
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Petrullo, P.; Senato, D. Explicit formulae for kerov polynomials. Journal of Algebraic Combinatorics, Tome 33 (2011) no. 1, pp. 141-151. http://geodesic.mathdoc.fr/item/JAC_2011__33_1_a1/