Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Order Ideals of Minuscule Posets III: The CDE Property   Recent work of Hopkins establishes that the lattice of order ideals of a
minuscule poset satisfies the coincidental down-degree expectations property of
Reiner, Tenner, and Yong. His approach appeals to the classification of
minuscule posets. A uniform proof is presented herein.
  The blueprint follows that of Rush and Wang in their uniform proof that
various cardinality statistics are homomesic on orbits of order ideals of
minuscule posets under the Fon-Der-Flaass action. The underpinning remains the
original insight of Rush and Shi into the structure of the isomorphism between
the weight lattice of a minuscule representation of a complex simple Lie
algebra and the lattice of order ideals of the corresponding minuscule poset.

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The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
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The categories of this paper are: econ
37
The categories of this paper are: supr-con
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The categories of this paper are: hep-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-th
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The categories of this paper are: bayes-an