A Translation Principle for Kac-Moody Algebras

DOI10.2307/2046416zbMath0625.17010OpenAlexW4238833582MaRDI QIDQ3027196

Wayne Neidhardt

Publication date: 1987

Full work available at URL: https://doi.org/10.2307/2046416

zbMATH Keywords

multiplicityKac-Moody algebraVerma moduleirreducible moduleCasimir operatorsgeneralized Cartan matrixtranslation principle

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67)

Related Items (2)

Tensoring with infinite-dimensional modules in \(\mathcal {O}_0\) ⋮ Local Projective Resolutions and Translation Functors for KAC-Moody Algebras

Cites Work

• Moduln mit einem höchsten Gewicht
• Structure of representations with highest weight of infinite-dimensional Lie algebras
• Projective modules over graded Lie algebras. I
• Structure of some categories of representations of infinite-dimensional Lie algebras
• Lie algebra homology and the Macdonald-Kac formulas
• A new class of Lie algebras

This page was built for publication: A Translation Principle for Kac-Moody Algebras