Structure of the Verma module \(M(-\rho)\) over Euclidean Lie algebras

DOI10.1016/0021-8693(89)90138-5zbMath0693.17013OpenAlexW1999671010WikidataQ115366172 ScholiaQ115366172MaRDI QIDQ584375

Jong-Min Ku

Publication date: 1989

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(89)90138-5

zbMATH Keywords

multiplicityVerma moduleJantzen filtrationhighest weight vectorEuclidean Lie algebraimaginary root vectorssymmetrizable Kac-Moody Lie algebra

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 (5)

REALIZATION OF ${\widehat{\mathfrak{sl}}_2({\mathbb C})}$ AT THE CRITICAL LEVEL ⋮ A note on some structure theorems of modules in category 0 ⋮ On the restricted Verma modules at the critical level ⋮ Unnamed Item ⋮ The modular Weyl-Kac character formula

Cites Work

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• Moduln mit einem höchsten Gewicht
• Structure of representations with highest weight of infinite-dimensional Lie algebras
• Realization of the basic representations of the Euclidean Lie algebras
• Structure of some categories of representations of infinite-dimensional Lie algebras
• On a bilinear form on the universal enveloping algebra of a complex semisimple Lie algebra
• A new class of Lie algebras

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