Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Restricting cell modules of partition algebras   The restriction of a (dual) Specht module to a smaller symmetric group has a
filtration by (dual) Specht modules of this smaller group. In the cellular
structure of the group algebra of the symmetric group, the cell modules are
exactly the (dual) Specht modules. The partition algebra is a cellular algebra
containing the group algebra of the symmetric group. In this article, we study
the structure of the restriction of a cell module to the group algebra of a
symmetric group (with smaller index) and find conditions for the restriction to
possess a (dual) Specht filtration.

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The categories of this paper are: econ
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The categories of this paper are: gr-qc
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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-th
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The categories of this paper are: eess
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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: hep-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: patt-sol
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The categories of this paper are: adap-org
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The categories of this paper are: nlin
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The categories of this paper are: q-fin