Positivity in T-Equivariant K-theory of flag varieties associated to Kac-Moody groups

TL;DR

This paper establishes a positivity property in the T-equivariant K-theory of flag varieties linked to symmetrizable Kac-Moody groups, extending understanding in algebraic geometry and representation theory.

Contribution

It introduces a new positivity result for T-equivariant K-theory applicable to all symmetrizable Kac-Moody groups' flag varieties.

Findings

Proves a positivity theorem in T-equivariant K-theory

Applies to flag varieties of symmetrizable Kac-Moody groups

Extends previous positivity results to a broader class of groups

Abstract

We prove a positivity result for the T-equivariant K-theory of flag varieties associated to any symmetrizable Kac-Moody group.