Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Representations induced from a normal subgroup of prime index   Let $G$ be a finite group, $H$ be a normal subgroup of prime index $p$. Let
$F$ be a field of either characteristic $0$ or prime to $|G|$. Let $\eta$ be an
irreducible $F$-representation of $H$. If $F$ is an algebraically closed field
of characteristic either $0$ or prime to $|G|$, then the induced representation
$\eta \uparrow^{G}_{H}$ is either irreducible or a direct sum of $p$ pairwise
inequivalent irreducible representations. In this paper, we show that if $F$ is
not assumed algebraically closed field, then there are five possibilities in
the decomposition of induced representation into irreducible representations.

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The categories of this paper are: bayes-an
3
The categories of this paper are: physics
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The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
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The categories of this paper are: q-fin
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The categories of this paper are: patt-sol
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The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
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The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ex
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The categories of this paper are: solv-int