Tensor product varieties and crystals. GL case

Abstract

The role of Spaltenstein varieties in the tensor product for GL is explained. In particular a direct (non-combinatorial) proof of the fact that the number of irreducible components of a Spaltenstein variety is equal to a Littlewood-Richardson coefficient (i.e. certain tensor product multiplicity) is obtained.

References in corpus (1)

• Quiver varieties and tensor products

Cited by in corpus (6)

• Quiver varieties and Beilinson-Drinfeld Grassmannians of type A
• On two geometric constructions of U(sl_n) and its representations
• Finite-dimensional algebras and quivers
• Heaps, crystals, and preprojective algebra modules
• Lectures on geometric realizations of crystals
• Quiver varieties and fusion products for sl_2