Equivariant K-chevalley Rules for Kac-moody Flag Manifolds
نویسنده
چکیده
Explicit combinatorial cancellation-free rules are given for the product of an equivariant line bundle class with a Schubert class in the torus-equivariant K-theory of a KacMoody flag manifold. The weight of the line bundle may be dominant or antidominant, and the coefficients may be described either by Lakshmibai-Seshadri paths or by the λ-chain model of the first author and Postnikov [LP, LP1]. For Lakshmibai-Seshadri paths, our formulas are the Kac-Moody generalizations of results of Griffeth and Ram [GR] and Pittie and Ram [PR] for finite dimensional flag manifolds. A gap in the proofs of the mentioned results is addressed.
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تاریخ انتشار 2013