The down operator and expansions of near rectangular k-Schur functions

We prove that the Lam-Shimozono ``down operator'' on the affine Weyl group induces a derivation of the affine Fomin-Stanley subalgebra of the affine nilCoxeter algebra. We use this to verify a conjecture of Berg, Bergeron, Pon and Zabrocki describing the expansion of k-Schur functions of `...

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Príomhchruthaitheoirí: Chris Berg, Franco Saliola, Luis Serrano
Formáid: Alt
Teanga:English
Foilsithe / Cruthaithe: Discrete Mathematics & Theoretical Computer Science 2012-01-01
Sraith:Discrete Mathematics & Theoretical Computer Science
Ábhair:
Rochtain ar líne:https://dmtcs.episciences.org/3052/pdf