Duality on Fock spaces and combinatorial energy functions

2014/07/16 by Jae-Hoon Kwon, Euiyong Park, Kwon, Jae-Hoon +1
Mathematics · #Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT) #math.CO #math.RT

paper · pdf · doi:10.48550/arxiv.1407.4238

26 pages, minor revision, to appear in Journal of Combinatorial Theory, Series A

arxiv created 2015/03/12 · arxiv updated 2015/03/13

Abstract

We generalize in a combinatorial way the notion of the affine energy function of type A to the case of a more general class of modules over a general linear Lie superalgebra \mathfrakg based on a Howe duality of type (\mathfrakg,\mathfrakgl_n) on various Fock spaces.

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