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EJC
2008

Tabloids and weighted sums of characters of certain modules of the symmetric groups

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Tabloids and weighted sums of characters of certain modules of the symmetric groups
We consider certain modules of the symmetric groups whose basis elements are called tabloids. As modules of the symmetric groups, some of these are isomorphic to Springer modules. We give a combinatorial description for weighted sums of their characters; we introduce combinatorial objects called (, l)tableaux, and rewrite weighted sums of characters as the numbers of these combinatorial objects. We also consider the meaning of these combinatorial objects; we construct a correspondence between (, l)-tableaux and tabloids whose images are eigenvectors of the action of an element of cycle type in quotient modules. R
Yasuhide Numata
Added 10 Dec 2010
Updated 10 Dec 2010
Type Journal
Year 2008
Where EJC
Authors Yasuhide Numata
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