3 papers
math.AG2002
Richardson Varieties and Equivariant K-Theory
V. Lakshmibai, Peter Littelmann
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…
math.RT2002
Adapted algebras and standard monomials
Philippe Caldero, Peter Littelmann
Let G be a complex semisimple Lie group. The aim of this article is to compare two basis for G-modules, namely the standard monomial basis and the dual canonical basis. In particul…
math.QA2000
Algebraization of Frobenius splitting via quantum groups
Shrawan Kumar, Peter Littelmann
An important breakthrough in understanding the geometry of Schubert varieties was the introduction of the notion of Frobenius split varieties and the result that the flag varieties…