Modular moonshine. III.

DOI10.1215/S0012-7094-98-09305-XzbMath1047.17014arXivmath/9801101OpenAlexW2950510896MaRDI QIDQ1974816

Richard E. Borcherds

Publication date: 27 March 2000

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9801101

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

Modular \(A_{n}(V)\) theory ⋮ Generalized Kac-Moody algebras and some related topics ⋮ Smash product construction of modular lattice vertex algebras ⋮ Modular Virasoro vertex algebras and affine vertex algebras ⋮ A self-dual integral form of the moonshine module ⋮ Generalized moonshine. II: Borcherds products ⋮ \(p\)-adic vertex operator algebras ⋮ On integral forms for vertex algebras associated with affine Lie algebras and lattices ⋮ The fake monster formal group ⋮ The 5-modular characters of the sporadic simple Harada-Norton group \(HN\) and its automorphism group \(HN.2\). ⋮ Representations of vertex operator algebras over an arbitrary field ⋮ Vertex operator algebras associated to the Virasoro algebra over an arbitrary field ⋮ Symmetric invariant bilinear forms on modular vertex algebras ⋮ Lattice structure of modular vertex algebras ⋮ Local base change via Tate cohomology ⋮ A composite order generalization of modular moonshine ⋮ Integral structures in extended affine Lie algebras ⋮ Twisted modules for affine vertex algebras over fields of prime characteristic ⋮ Intertwining operators among modules for affine Lie algebra and lattice vertex operator algebras which respect integral forms

Cites Work

• Modular equations and the genus zero property of moonshine functions
• Monstrous moonshine and monstrous Lie superalgebras
• Third and higher order NFPA twisted constructions of conformal field theories from lattices
• Modular moonshine. II
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Modular moonshine. III.