Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Chevalley formula for anti-dominant weights in the equivariant
  $K$-theory of semi-infinite flag manifolds   We prove a Pieri-Chevalley formula for anti-dominant weights and also a Monk
formula in the torus-equivariant $K$-group of the formal power series model of
semi-infinite flag manifolds, both of which are described explicitly in terms
of semi-infinite Lakshmibai-Seshadri paths (or, equivalently, quantum
Lakshmibai-Seshadri paths). In view of recent results of Kato, these formulas
give an explicit description of the structure constants for the Pontryagin
product in the torus-equivariant $K$-group of affine Grassmannians and that for
the quantum multiplication of the torus-equivariant (small) quantum $K$-group
of finite-dimensional flag manifolds. Our proof of these formulas is based on
standard monomial theory for semi-infinite Lakshmibai-Seshadri paths, which is
established in our previous work, and also uses a string property of
Demazure-like subsets of the crystal basis of a level-zero extremal weight
module over a quantum affine algebra.

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The categories of this paper are: hep-th
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The categories of this paper are: hep-ph
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The categories of this paper are: nlin
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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: funct-an
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The categories of this paper are: solv-int
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas
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The categories of this paper are: cs
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The categories of this paper are: quant-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: math-ph
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The categories of this paper are: eess
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The categories of this paper are: chao-dyn