Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Degenerate cyclotomic Hecke algebras and higher level Heisenberg
  categorification   We associate a monoidal category $\mathcal{H}^\lambda$ to each dominant
integral weight $\lambda$ of $\widehat{\mathfrak{sl}}_p$ or
$\mathfrak{sl}_\infty$. These categories, defined in terms of planar diagrams,
act naturally on categories of modules for the degenerate cyclotomic Hecke
algebras associated to $\lambda$. We show that, in the $\mathfrak{sl}_\infty$
case, the level $d$ Heisenberg algebra embeds into the Grothendieck ring of
$\mathcal{H}^\lambda$, where $d$ is the level of $\lambda$. The categories
$\mathcal{H}^\lambda$ can be viewed as a graphical calculus describing
induction and restriction functors between categories of modules for degenerate
cyclotomic Hecke algebras, together with their natural transformations. As an
application of this tool, we prove a new result concerning centralizers for
degenerate cyclotomic Hecke algebras.

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The categories of this paper are: cs
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The categories of this paper are: hep-lat
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The categories of this paper are: acc-phys
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The categories of this paper are: astro-ph
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The categories of this paper are: solv-int
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The categories of this paper are: q-alg
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The categories of this paper are: ao-sci
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The categories of this paper are: adap-org
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The categories of this paper are: cond-mat
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-th
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The categories of this paper are: comp-gas
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The categories of this paper are: q-fin
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The categories of this paper are: quant-ph
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The categories of this paper are: funct-an
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The categories of this paper are: stat