Richardson varieties and equivariant K-theory

@article{Lakshmibai2002RichardsonVA,
  title={Richardson varieties and equivariant K-theory},
  author={Venkatramani Lakshmibai and Peter Littelmann},
  journal={Journal of Algebra},
  year={2002},
  volume={260},
  pages={230-260}
}
We generalize Standard Monomial Theory (SMT) to intersections of Schubert varieties and opposite Schubert varieties; such varieties are called Richardson varieties. The aim of this article is to get closer to a geometric interpretation of the standard monomial theory as constructed in (P. Littelmann, J. Amer. Math. Soc. 11 (1998) 551–567). In fact, the construction given here is very close to the ideas in (P. Lakshmibai, C.S. Seshadri, J. Algebra 100 (1986) 462–557). Our methods show that in… Expand
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