Kostant's theorem for a certain class of generalized Kac-Moody algebras

DOI10.3792/pjaa.68.43zbMath0761.17024OpenAlexW2080657862MaRDI QIDQ1201477

Satoshi Naito

Publication date: 17 January 1993

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.68.43

zbMATH Keywords

character formulaLie algebra homologygeneralization of Kostant's homology theoremsymmetrizable generalized Kac-Moody algebras

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Infinite-dimensional Lie (super)algebras (17B65) Homological methods in Lie (super)algebras (17B55) Cohomology of Lie (super)algebras (17B56)

Cites Work

• Unnamed Item
• Generalized Kac-Moody algebras
• Kostant's formula for Kac-Moody Lie algebras
• Lie algebra homology and the Macdonald-Kac formulas
• Lie algebra cohomology and the generalized Borel-Weil theorem
• Generalized Verma modules, loop space cohomology and MacDonald-type identities

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