Geodesic
Skew quantum Murnaghan-Nakayama rule
Journal of Algebraic Combinatorics, Tome 35 (2012) no. 4, pp. 519-545.

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

Summary: We extend recent results of Assaf and McNamara on a skew Pieri rule and a skew Murnaghan-Nakayama rule to a more general identity, which gives an elegant expansion of the product of a skew Schur function with a quantum power sum function in terms of skew Schur functions. We give two proofs, one completely bijective in the spirit of Assaf-McNamara's original proof, and one via Lam-Lauve-Sotille's skew Littlewood-Richardson rule. We end with some conjectures for skew rules for Hall-Littlewood polynomials.
Keywords: keywords Pieri rule, murnaghan-Nakayama rule, Schur functions, Hall-Littlewood polynomials 
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     author = {Konvalinka, Matja\v{z}},
     title = {Skew quantum {Murnaghan-Nakayama} rule},
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Konvalinka, Matjaž. Skew quantum Murnaghan-Nakayama rule. Journal of Algebraic Combinatorics, Tome 35 (2012) no. 4, pp. 519-545. http://geodesic.mathdoc.fr/item/JAC_2012__35_4_a6/