Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On signed $p$-Kostka matrices   We show that the signed $p$-Kostka numbers depend just on $p$-Kostka numbers
and the multiplicities of projective indecomposable modules in certain signed
Young permutation modules. We then examine the signed $p$-Kostka number
$k_{(\alpha|\beta),(\lambda|p\mu)}$ in the case when $|\beta|=p|\mu|$. This
allows us to explicitly describe the multiplicities of direct summands of a
signed Young permutation module lying in the principal block of
$F\mathfrak{S}_{mp}$ in terms of the $p$-Kostka numbers.

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The categories of this paper are: eess
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The categories of this paper are: astro-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-alg
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The categories of this paper are: cs
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The categories of this paper are: cond-mat
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The categories of this paper are: chao-dyn
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The categories of this paper are: math-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: quant-ph