We give an explicit combinatorial Chevalley-type formula for the equivariant K-theory of
generalized flag varieties G/P which is a direct generalization of the classical Chevalley …

Peterson varieties are a special class of Hessenberg varieties that have been extensively
studied, for example, by Peterson, Kostant, and Rietsch, in connection with the quantum …

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 …

A formula for the structure constants of the multiplication of Schubert classes is obtained in
(Rebecca and Allen. arXiv preprint arXiv: 1909.05283, 2019). In this note, we prove …

We give an explicit combinatorial Chevalley-type formula for the equivariant K-theory of
generalized flag varieties G/P which is a direct generalization of the classical Chevalley …

We describe the action of the Weyl group of a semi simple linear group $ G $ on
cohomological and K-theoretic invariants of the generalized flag variety $ G/B $. We study …

In this article we obtain many results on the multiplicative structure constants of $ T $-
equivariant Grothendieck ring of the flag variety $ G/B $. We do this by lifting the classes of …

We consider the manifold Fln (ℍ)= Sp (n)/Sp (1) n of all complete flags in ℍn, where ℍ is the
skew-field of quaternions. We study its equivariant complex K-theory rings with respect to the …

In this paper, Lenart and Postnikov use the language of alcoves to provide a Chevalley
formula in equivariant K-theory, that is, a formula to compute the decomposition of the …