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" The reflective Lorentzian lattices of rank 3 / "
Daniel Allcock
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BL
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| Record Number
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587183
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b416402
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| Main Entry
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Allcock, Daniel,1969-
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| Title & Author
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The reflective Lorentzian lattices of rank 3 /\ Daniel Allcock
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| Series Statement
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Memoirs of the American Mathematical Society,; number 1033
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| Page. NO
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ix, 108 pages :: illustrations ;; 25 cm
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| ISBN
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9780821869116 (alk. paper)
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: 0821869116 (alk. paper)
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| Notes
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"November 2012, volume 220, Number 1033 (first of 4 numbers)."
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| Bibliographies/Indexes
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Includes bibliographical references
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| Abstract
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Allcock (U. of Texas) classifies all 8,595 symmetric integer bilinear forms of signature (2,1) whose isometry groups are generated up to finite index by reflections. His classification adapts Nikulin's method of narrow parts of polyhedral and converts the bounds on the shape of a 2D Weyl chamber into an enumeration of inner product matrices of 3, 4, or 5 consecutive simple roots of W(L). An extensive table lists 704 reflective lattices grouped according to the conjugacy classes of their Weyl groups. No index is provided. Annotation ©2013 Book News, Inc., Portland, OR (booknews.com)
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| Subject
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Lattice theory
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Automorphisms
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| Dewey Classification
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511.3/3
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| LC Classification
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QA171.5.A45 2012
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