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- W1617436398 abstract "In this paper we give a combinatorial interpretation for the coefficient of $s_{nu}$ in the Kronecker product $s_{(n-p,p)}ast s_{lambda}$, where $lambda=(lambda_1, ..., lambda_{ell(lambda)})vdash n$, if $ell(lambda)geq 2p-1$ or $lambda_1geq 2p-1$; that is, if $lambda$ is not a partition inside the $2(p-1)times 2(p-1)$ square. For $lambda$ inside the square our combinatorial interpretation provides an upper bound for the coefficients. In general, we are able to combinatorially compute these coefficients for all $lambda$ when $n>(2p-2)^2$. We use this combinatorial interpretation to give characterizations for multiplicity free Kronecker products. We have also obtained some formulas for special cases." @default.
- W1617436398 created "2016-06-24" @default.
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- W1617436398 date "2005-07-26" @default.
- W1617436398 modified "2023-09-27" @default.
- W1617436398 title "A Combinatorial Interpretation for the coefficients in the Kronecker Product $s_{(n-p,p)}ast s_{lambda}$ (Multiplicities in the Kronecker Product $s_{(n-p,p)}ast s_{lambda}$)" @default.
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