Generalized Kac-Moody algebras and the modular function \(j\)
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Publication:1318138
DOI10.1007/BF01459740zbMath0787.17022OpenAlexW1998496313MaRDI QIDQ1318138
Publication date: 23 May 1994
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/165176
elliptic modular functionMonster Lie algebradenominator identitysymmetrizable generalized Kac-Moody algebrasroot multiplicity formulaWeyl-Kac-Borcherds character formula
Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Relationship to Lie algebras and finite simple groups (11F22) Infinite-dimensional Lie (super)algebras (17B65)
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Generalized Kac-Moody algebras and some related topics, Dimension formula for graded Lie algebras and its applications, Generalized Kac-Moody Lie algebras, free Lie algebras and the structure of the Monster Lie algebra, Kazhdan-lusztig conjecture for generalized kac-moody algebras, I: towards the conjecture, Borcherds–Bozec algebras, root multiplicities and the Schofield construction, FREUDENTHAL-TYPE MULTIPLICITY FORMULAS FOR GENERALIZED KAC-MOODY SUPERALGEBRAS, Peterson-type dimension formulas for graded Lie superalgebras, Realizations of the monster Lie algebra, Root Supermultiplicities of Some Borcherds Superalgebras, Graded Lie superalgebras and the superdimension formula
Cites Work
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- Generalized Kac-Moody algebras
- Kostant's formula for Kac-Moody Lie algebras
- Lie algebra homology and the Macdonald-Kac formulas
- The strong Bernstein-Gelfand-Gelfand resolution for generalized Kac-Moody algebras. I: The existence of the resolution
- Monstrous moonshine and monstrous Lie superalgebras
- Graded Lie algebras of Kac-Moody type
- Lie algebra cohomology and the generalized Borel-Weil theorem
- Vertex algebras, Kac-Moody algebras, and the Monster
- Monstrous Moonshine