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

Abstract

We conjecture an explicit bound on the prime characteristic of a field, under which the Weyl modules of affine ${\mathfrak{sl}}_2$ and the minimal series modules of Virasoro algebra remain irreducible, and Goddard-Kent-Olive coset construction for affine ${\mathfrak{sl}}_2$ is valid.

v2, 7 pages, minor revision, consistent with journal version

References in corpus (2)

• Vertex operator algebras associated to the Virasoro algebra over an arbitrary field
• On Weyl modules over affine Lie algebras in prime characteristic

Cited by in corpus (1)

• Modular Virasoro Vertex Algebras and Affine Vertex Algebras