5 citations · 5 across the 1 of their papers we have counts for
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What is moonshine?
R. E. Borcherds
This is an informal write up of my talk in Berlin. It gives some background to Goddard's talk (math.QA/9808136) about the moonshine conjectures.
Coxeter groups, Lorentzian lattices, and K3 surfaces
Richard E. Borcherds
The main result of this paper describes the normalizer of a finite parabolic subgroup of a (possibly infinite) Coxeter group. We use this to compute the automorphism groups of some…
A Siegel cusp form of degree 12 and weight 12
Richard E. Borcherds, E. Freitag, R. Weissauer
The theta series of the two unimodular even positive definite lattices of rank 16 are known to be linearly dependent in degree at most 3 and linearly independent in degree 4. In th…
The fake monster formal group
Richard E. Borcherds
The main result of this paper is the construction of ``good'' integral forms for the universal enveloping algebras of the fake monster Lie algebra and the Virasoro algebra. As an a…
Modular Moonshine III
Richard E. Borcherds
In this paper we complete the proof of Ryba's modular moonshine conjectures. We do this by applying Hodge theory to the cohomology of the monster Lie algebra over the ring of p-adi…