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

List price:
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£69.50 |
We currently do not stock this item, please contact the publisher directly for
further information.
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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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