Characters of representations of affine Kac-Moody Lie algebras at the critical level

Abstract

We present an explicit character formula for the irreducible highest weight representations of the non-twisted affine Kac-Moody Lie algebra at the critical level which are integrable over the corresponding finite-dimensional simple Lie algebra.

9 pages, a brief announcement. After submitting the first version of this paper we are notified that the formula was known to E. Frenkel

References in corpus (4)

• Quantum Reduction for Affine Superalgebras
• Characters of irreducible modules with non-critical highest weights over affine Lie algebras
• Vanishing of cohomology associated to quantized Drinfeld-Sokolov reduction
• Weyl modules and opers without monodromy

Cited by in corpus (3)

• W Symmetry in six dimensions
• Chiral algebras of class $\mathcal{S}$ and Moore-Tachikawa symplectic varieties
• A chiral Borel-Weil-Bott theorem