Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stuttering blocks of Ariki-Koike algebras   We study a shift action defined on multipartitions and on residue multisets
of their Young diagrams. We prove that the minimal orbit cardinality among all
multipartitions associated to a given multiset depends only on the orbit
cardinality of the multiset. Using abaci, this problem reduces to a convex
optimisation problem over the integers with linear constraints. We solve it by
proving an existence theorem for binary matrices with prescribed row, column
and block sums. Finally, we give some applications to the representation theory
of the Hecke algebra of the complex reflection group $G(r,p,n)$.

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The categories of this paper are: hep-ex
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The categories of this paper are: math-ph
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The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
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The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
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The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
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The categories of this paper are: q-fin
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The categories of this paper are: dg-ga
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The categories of this paper are: patt-sol
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The categories of this paper are: atom-ph
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The categories of this paper are: nlin
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The categories of this paper are: supr-con
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The categories of this paper are: physics
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The categories of this paper are: bayes-an