FREUDENTHAL-TYPE MULTIPLICITY FORMULAS FOR GENERALIZED KAC-MOODY SUPERALGEBRAS

DOI10.1081/AGB-100000796zbMath1054.17020MaRDI QIDQ2749091

Young-Tak Oh, Ja Kyung Koo

Publication date: 2001

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

zbMATH Keywords

Replicable functionGeneralized Kac-Moody superalgebraPeterson and Freudenthal formulas

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Relationship to Lie algebras and finite simple groups (11F22)

Related Items (4)

Peterson-type dimension formulas for graded Lie superalgebras ⋮ Self-recursion formulas satisfied by Fourier coefficients of some modular functions ⋮ Graded Lie superalgebras and super-replicable functions ⋮ Self-recursion formulas of certain monstrous functions

Cites Work

• The monster Lie algebra
• Generalized Kac-Moody algebras
• Infinite-dimensional Lie algebras and Dedekind's \(\eta\)-function
• Graded Lie superalgebras and the superdimension formula
• Generalized Kac-Moody algebras and the modular function \(j\)
• Monstrous moonshine and monstrous Lie superalgebras
• Automorphic forms on \(O_{s+2,2}(\mathbb R)\) and infinite products
• A character formula for generalized Kac-Moody superalgebras
• A generalization of Borcherds algebra and denominator formula
• Graded Lie Superalgebras, Supertrace Formula, and Orbit Lie Superalgebras
• Monstrous Moonshine
• Dimension formula for graded Lie algebras and its applications
• Lie superalgebras

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