On Weyl modules over affine Lie algebras in prime characteristic

Abstract

We construct a family of homomorphisms between Weyl modules for affine Lie algebras in characteristic p, which supports our conjecture on the strong linkage principle in this context. We also exhibit a large class of reducible Weyl modules beyond level one, for p not necessarily small.

30 pages, 1 figure, 3 tables; v4: clarifying the statement of Conjecture 6.1 regarding the strong linkage principle

Cited by in corpus (1)

• Some conjectures on modular representations of affine ${\mathfrak{sl}}_2$ and Virasoro algebra