Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Combinatorial Interpretation for the coefficients in the Kronecker
  Product $s_{(n-p,p)}\ast s_{\lambda}$ (Multiplicities in the Kronecker
  Product $s_{(n-p,p)}\ast s_{\lambda}$)   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 $\lambda_1\geq 2p-1$; 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.

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The categories of this paper are: adap-org
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The categories of this paper are: atom-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: q-alg
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The categories of this paper are: eess
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The categories of this paper are: plasm-ph
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The categories of this paper are: solv-int
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The categories of this paper are: hep-lat
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The categories of this paper are: patt-sol
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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ph
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The categories of this paper are: nlin
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The categories of this paper are: cond-mat
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The categories of this paper are: math-ph