Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Partial Order on Bipartitions From the Generalized Springer
  Correspondence   In \cite{Lusztig}, Lusztig gives an explicit formula for the bijection
between the set of bipartitions and the set $\mathcal{N}$ of unipotent classes
in a spin group which carry irreducible local systems equivariant for the spin
group but not equivariant for the special orthogonal group. The set
$\mathcal{N}$ has a natural partial order and therefore induces a partial order
on bipartitions. We use the explicit formula given in \cite{Lusztig} to prove
that this partial order on bipartitions is the same as the dominance order
appeared in Dipper-James-Murphy's work.

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The categories of this paper are: chao-dyn
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The categories of this paper are: alg-geom
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The categories of this paper are: bayes-an
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The categories of this paper are: solv-int
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The categories of this paper are: hep-th
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The categories of this paper are: supr-con
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The categories of this paper are: gr-qc
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The categories of this paper are: atom-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: econ
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The categories of this paper are: astro-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: cs
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-lat
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The categories of this paper are: comp-gas