Classification of simple weight modules over affine Lie algebras

Abstract

All simple weight modules with finite dimensional weight spaces over affine Lie algebras are classified.

Preliminary version, 25 pages

References in corpus (2)

• A Character Formula for the Category Õ
• Integrable modules for affine Lie superalgebras

Cited by in corpus (6)

• Whittaker modules for the affine Lie algebra $A_1^{(1)}$
• Structure of parabolically induced modules for affine Kac-Moody algebras
• Irreducible representations of untwisted affine Kac-Moody algebras
• Localization of free field realizations of affine Lie algebras
• Module structure on $U(\mathfrak{h})$ for Kac-Moody algebras
• The category of weight modules for symplectic oscillator Lie algebras