The recursive dimension formula for graded lie algebras and its applications

DOI10.1080/00927879908826585zbMath0928.17027OpenAlexW2086783563MaRDI QIDQ4254194

Kyounghee Kim, Dong-Uy Shin

Publication date: 19 January 2000

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

Full work available at URL: https://doi.org/10.1080/00927879908826585

zbMATH Keywords

Kac-Moody algebrasrecursive formulaweight multiplicitiesintegrable highest weight modulesroot multiplicities\(\Gamma\)-graded Lie algebrasdimension of the subspaces

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Graded Lie (super)algebras (17B70)

Related Items (1)

Root Supermultiplicities of Some Borcherds Superalgebras

Cites Work

• Kostant's formula for Kac-Moody Lie algebras
• Lie algebra homology and the Macdonald-Kac formulas
• Root multiplicities of Kac-Moody algebras
• Graded Lie algebras of Kac-Moody type
• A new class of Lie algebras
• SIMPLE IRREDUCIBLE GRADED LIE ALGEBRAS OF FINITE GROWTH

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