Schubert varieties and the fusion products. The general case

Abstract

This paper generalizes the results of the paper \cite{mi3} to the case of the general ${\mathfrak{sl}}_2$ Schubert varieties. We study the homomorphisms between different Schubert varieties, describe their geometry and the group of the line bundles. We also derive some consequences, concerning the infinite-dimensional generalized affine grassmanians.

17 pages

References in corpus (1)

• Inhomogeneous lattice paths, generalized Kostka polynomials and A${}_{n-1}$ supernomials