Borcherds' proof of the Conway-Norton conjecture

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dc.creatorJurisich, Elizabeth
dc.date2009-03-25
dc.date.accessioned2026-07-07T12:56:56Z
dc.date.available2026-07-07T12:56:56Z
dc.descriptionWe give a summary of R. Borcherds' solution (with some modifications) to the following part of the Conway-Norton conjectures: Given the Monster simple group and Frenkel-Lepowsky-Meurman's moonshine module for the group, prove the equality between the graded characters of the elements of the Monster group acting on the module (i.e., the McKay-Thompson series) and the modular functions provided by Conway and Norton. The equality is established using the homology of a certain subalgebra of the monster Lie algebra, and the Euler-Poincare identity.
dc.descriptionFirst presented at Moonshine - the first quarter century and beyond.A Workshop on the Moonshine Conjectures and Vertex Algebras ICMS, 5 - 13 July 2004
dc.identifierhttps://arxiv.org/abs/0903.4456
dc.identifierhttp://arxiv.org/abs/0903.4456
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/224757
dc.subjectRepresentation Theory
dc.subjectGroup Theory
dc.subject1706
dc.titleBorcherds' proof of the Conway-Norton conjecture
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