5 citations · 5 across the 1 of their papers we have counts for
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Classification of positive definite lattices
R. E. Borcherds
In this paper we describe an algorithm for classifying orbits of vectors in Lorentzian lattices. The main point of this is that isomorphism classes of positive definite lattices in…
The Leech lattice and other lattices
R. E. Borcherds
This is an unpublished manuscript written in 1983-4. It contains several results about lattices (=integral quadratic forms) including the classification of the unimodular lattices…
Reflection groups of Lorentzian lattices
R. E. Borcherds
The aim of this paper is to provide evidence for the following new principle: interesting reflection groups of Lorentzian lattices are controlled by certain modular forms with pole…
Quantum vertex algebras
Richard E. Borcherds
The purpose of this paper is to make the theory of vertex algebras trivial. We do this by setting up some categorical machinery so that vertex algebras are just ``singular commutat…