2008
DOI: 10.1016/j.ejc.2007.02.007
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Tabloids and weighted sums of characters of certain modules of the symmetric groups

Abstract: We consider certain modules of the symmetric groups whose basis elements are called tabloids. Some of these modules are isomorphic to subspaces of the cohomology rings of subvarieties of flag varieties as modules of the symmetric groups. We give a combinatorial description for some weighted sums of their characters, i.e., we introduce combinatorial objects called (½; l)-tableaux and rewrite weighted sums of characters as the numbers of these combinatorial objects. We also consider the meaning of these combinat… Show more

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