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Some generalized Kac-Moody algebras with known root multiplicities

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Publication:4534866
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DOI10.1090/memo/0746zbMath1056.17019arXivmath/0001029OpenAlexW2039052622MaRDI QIDQ4534866

Peter Niemann

Publication date: 18 June 2002

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0001029

zbMATH Keywords

modular formKac-Moody Lie algebrarootDynkin diagramtheta-functionmonster Lie algebra


Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67)


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A generalized Kac-Moody algebra of rank 14, \(\widehat{sl(2)}\) decomposition of denominator formulae of some BKM Lie superalgebras. II., Root multiplicities for Borcherds algebras and graph coloring, Root multiplicities of hyperbolic Kac-Moody algebras and Fourier coefficients of modular forms, BKM Lie superalgebras from counting twisted CHL dyons, Two moonshines for \(L_{2}(11)\) but none for \(M_{12}\), Automorphic correction of the hyperbolic Kac-Moody algebra E10, Mathieu moonshine and Siegel modular forms, Automorphic forms, fake monster algebras, and hyperbolic reflection groups, Reflection groups of Lorentzian lattices



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