-
Equivariant K-Chevalley rules for Kac-Moody flag manifolds
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 136, Number 5, October 2014
- pp. 1175-1213
- 10.1353/ajm.2014.0034
- Article
- Additional Information
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 Kac-Moody 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 $\lambda$-chain model of the first author and Postnikov. For Lakshmibai-Seshadri
paths, our formulas are the Kac-Moody generalizations of results of Griffeth and Ram and Pittie and
Ram for finite dimensional flag manifolds. A gap in the proofs of the mentioned results is addressed.