Generalized Kac-Moody algebras, automorphic forms and Conway's group II

DOI10.1515/CRELLE.2008.092zbMath1159.17006MaRDI QIDQ3600019

Nils R. Scheithauer

Publication date: 10 February 2009

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

zbMATH Keywords

automorphic formgeneralized Kac-Moody algebrasmonsteridentityConway's group

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Relationship to Lie algebras and finite simple groups (11F22)

Related Items (13)

Natural construction of ten Borcherds-Kac-Moody algebras associated with elements in \(M_{23}\) ⋮ On a conjecture of Chen and Yui: Fricke groups ⋮ Number theoretic generalization of the monster denominator formula ⋮ Generalized moonshine. II: Borcherds products ⋮ BKM superalgebras from counting dyons in \({\mathcal N}=4\) supersymmetric type II compactifications ⋮ On a conjecture of Yui and Zagier ⋮ Lie Algebras, Vertex Algebras, and Automorphic Forms ⋮ On the classification of automorphic products and generalized Kac-Moody algebras ⋮ Computing genus $1$ Jacobi forms ⋮ A Borcherds-Kac-Moody superalgebra with Conway symmetry ⋮ Difference of a hauptmodul for \(\Gamma_0 (N)\) and certain Gross-Zagier type CM value formulas ⋮ Hecke operators on vector-valued modular forms ⋮ BKM Lie superalgebra for the \(Z_{5}\)-orbifolded CHL string

Cites Work

• Generalized Kac--Moody algebras, automorphic forms and Conway's group. I
• Replication formulae for \(n| h\)-type Hauptmoduls
• Monstrous Moonshine
• On the discrete groups of Moonshine
• Rational Hauptmoduls are Replicable

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