A resolution for standard modules of Borcherds Lie algebras

DOI10.1016/j.jpaa.2004.01.004zbMath1050.17017OpenAlexW1977894974WikidataQ115345650 ScholiaQ115345650MaRDI QIDQ1878420

Elizabeth Jurisich

Publication date: 19 August 2004

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2004.01.004

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Vertex operators; vertex operator algebras and related structures (17B69) Infinite-dimensional Lie (super)algebras (17B65) Homological methods in Lie (super)algebras (17B55)

Related Items (1)

Fricke Lie algebras and the genus zero property in Moonshine

Cites Work

• Infinite-dimensional Lie algebras, theta functions and modular forms
• Generalized Kac-Moody algebras
• Central extensions of generalized Kac-Moody algebras
• Kostant's formula for Kac-Moody Lie algebras
• Existence of conical vectors in induced modules
• Lie algebra homology and the Macdonald-Kac formulas
• On the algebras of BPS states.
• The strong Bernstein-Gelfand-Gelfand resolution for generalized Kac-Moody algebras. I: The existence of the resolution
• The strong Bernstein-Gelfand-Gelfand resolution for generalized Kac-Moody algebras. II: An explicit construction of the resolution
• Generalized Kac-Moody Lie algebras, free Lie algebras and the structure of the Monster Lie algebra
• Monstrous moonshine and monstrous Lie superalgebras
• Realizations of the monster Lie algebra
• A characterization of generalized Kac-Moody algebras
• Lie algebra cohomology and the generalized Borel-Weil theorem
• Generalized Verma modules, loop space cohomology and MacDonald-type identities
• Monstrous Moonshine
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