The reflective Lorentzian lattices of rank 3
Author(s)
Bibliographic Information
The reflective Lorentzian lattices of rank 3
（Memoirs of the American Mathematical Society, no. 1033）
American Mathematical Society, 2012
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Note
"November 2012, volume 220, number 1033 (first of 4 numbers)."
Includes bibliographical references (p. 107-108)
Description and Table of Contents
Description
The author classifies all the symmetric integer bilinear forms of signature $(2,1)$ whose isometry groups are generated up to finite index by reflections. There are 8,595 of them up to scale, whose 374 distinct Weyl groups fall into 39 commensurability classes. This extends Nikulin's enumeration of the strongly square-free cases. The author's technique is an analysis of the shape of the Weyl chamber, followed by computer work using Vinberg's algorithm and a ``method of bijections''. He also corrects a minor error in Conway and Sloane's definition of their canonical $2$-adic symbol.
by "Nielsen BookData"
