Contracting modules and Standard Monomial Theory for symmetrizable Kac-Moody algebras

Let G be a reductive algebraic group dened over an algebraically closed eld k. We x a Borel subgroup B, and for a dominant weight let L be the as-sociated line bundle on the generalized flag variety G=B. In a series of articles, Lakshmibai, Musili and Seshadri initiated a program to construct a basis for th