Chevalley formula for anti-dominant weights in the equivariant K-theory of semi-infinite flag manifolds

@article{Naito2018ChevalleyFF,
  title={Chevalley formula for anti-dominant weights in the equivariant K-theory of semi-infinite flag manifolds},
  author={Satoshi Naito and Daniel Orr and Daisuke Sagaki},
  journal={arXiv: Quantum Algebra},
  year={2018}
}
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… Expand
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