Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Chevalley formula for anti-dominant minuscule fundamental weights in the
  equivariant quantum $K$-group of partial flag manifolds   In this paper, we give an explicit formula of Chevalley type, in terms of the
Bruhat graph, for the quantum multiplication with the class of the line bundle
associated to the anti-dominant minuscule fundamental weight $- \varpi_{k}$ in
the torus-equivariant quantum $K$-group of the partial flag manifold $G/P_{J}$
(where $J = I \setminus \{k\}$) corresponding to the maximal (standard)
parabolic subgroup $P_{J}$ of minuscule type in type $A$, $D$, $E$, or $B$.
This result is obtained by proving a similar formula in a torus-equivariant
$K$-group of the semi-infinite partial flag manifold $\mathbf{Q}_{J}$ of
minuscule type, and then by making use of the isomorphism between the
torus-equivariant quantum $K$-group of $G/P_{J}$ and the torus-equivariant
$K$-group of $\mathbf{Q}_{J}$, recently established by Kato.

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The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
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The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
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The categories of this paper are: solv-int
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The categories of this paper are: acc-phys
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The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat