Some modular functions associated to the Lie algebra \(E_ 8\)

DOI10.1007/BF02571428zbMath0778.11024OpenAlexW2008397036MaRDI QIDQ1202421

Shih-Ping Chan, Mong-Lung Lang, Chong-Hai Lim

Publication date: 2 February 1993

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174441

zbMATH Keywords

conjugacy classesDedekind eta-functiontheta seriesmodular functionHauptmodulinvariant subgroupLie algebra \(E_ 8\)root lattice of \(E_ 8\)

Mathematics Subject Classification ID

Relationship to Lie algebras and finite simple groups (11F22) Modular and automorphic functions (11F03)

Related Items (1)

Replicable functions arising from code-lattice VOAs fixed by automorphisms

Cites Work

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• An elucidation of Infinite-dimensional algebras\dots and the very strange formula. \(E^{(1)}_8\) and the cube root of the modular invariant j
• Infinite-dimensional algebras, Dedekind's \(\eta\)-function, classical Möbius function and the very strange formula
• Zeta-functions of elliptic curves of 2-power conductor
• On modular forms of half integral weight
• The theta functions of sublattices of the Leech lattice
• Modular forms and the automorphism group of Leech lattice
• Monstrous Moonshine
• Finite Groups and Modular Functions
• Introduction to Lie Algebras and Representation Theory

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