Monstrous moonshine of higher weight

DOI10.1007/BF02392713zbMath0985.17017arXivmath/9803116OpenAlexW2037724952MaRDI QIDQ5926359

Geoffrey Mason, Chongying Dong

Publication date: 27 May 2002

Published in: Acta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9803116

zbMATH Keywords

modular functionsmoonshine moduleone-point functionvertex operator algebra

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Relationship to Lie algebras and finite simple groups (11F22) Vertex operators; vertex operator algebras and related structures (17B69)

Related Items

Generalized Kac-Moody algebras and some related topics ⋮ 1-Point functions for symmetrized Heisenberg and symmetrized lattice vertex operator algebras ⋮ On Generalized Modular forms and their Applications ⋮ The correlation functions of vertex operators and Macdonald polynomials ⋮ Haploid algebras in \(C^*\)-tensor categories and the Schellekens list ⋮ The Jack Daniels problem ⋮ Constraints on extremal self-dual CFTs ⋮ Conformal designs based on vertex operator algebras ⋮ The McKay-Thompson Series of Some Elements of Order 3,5,and 7 in the Monster ⋮ Free field theory and observables of periodic Macdonald processes ⋮ Highest-weight vectors of the moonshine module with non-zero graded trace.

Cites Work

• On quantum Galois theory
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• Equivariant elliptic homology and finite groups
• Vertex algebras, Kac-Moody algebras, and the Monster
• Monstrous Moonshine
• Modular invariance of characters of vertex operator algebras
• Modular-invariance of trace functions in orbifold theory and generalized Moonshine.
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