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Item Details
Title: THE REFLECTIVE LORENTZIAN LATTICES OF RANK 3
By: Daniel Allcock
Format: Paperback

List price: £69.50


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ISBN 10: 0821869116
ISBN 13: 9780821869116
Publisher: AMERICAN MATHEMATICAL SOCIETY
Pub. date: 15 November, 2012
Series: Memoirs of the American Mathematical Society 220, 1033
Pages: 108
Description: "November 2012, volume 220, Number 1033 (first of 4 numbers)."
Synopsis: 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.
Publication: US
Imprint: American Mathematical Society
Returns: Returnable
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