| Description |
We will discuss the T-equivariant K-theory of flag varieties
G/B, where G is a semisimple complex algebraic group, B is a Borel
subgroup and T is a maximal torus in B. The equivariant K-theory of G/B
comes equipped with two natural bases: one coming from the structure
sheaves of the Schubert varieties and the other its `dual' basis. We will
prove some positivity phenomenon in the T-equivariant K-theory of G/B for
the product structure constants in either of the above two bases. We will
also discuss a generalization of these results to the flag varieties of
Kac-Moody groups.
|