Equivariant K -theory of semi-infinite flag manifolds and the Pieri–Chevalley formula
Equivariant K -theory of semi-infinite flag manifolds and the Pieri–Chevalley formula
We propose a definition of equivariant (with respect to an Iwahori subgroup) $K$-theory of the formal power series model $\mathbf{Q}_{G}$ of semi-infinite flag manifold and prove the Pieri-Chevalley formula, which describes the product, in the $K$-theory of $\mathbf{Q}_{G}$, of the structure sheaf of a semi-infinite Schubert variety with a line …