Kostant's formula and homology vanishing theorems for generalized Kac-Moody algebras

DOI10.1215/kjm/1250519187zbMath0822.17024OpenAlexW1878480330MaRDI QIDQ1323253

Satoshi Naito

Publication date: 9 October 1995

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/kjm/1250519187

zbMATH Keywords

homologygeneralized Kac-Moody algebrasvanishing theoremsKostant formula

Mathematics Subject Classification ID

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

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The strong Bernstein-Gelfand-Gelfand resolution for generalized Kac-Moody algebras. I: The existence of the resolution

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