Reflection groups of the quadratic form -px 2/0 + x 2/1 + ... x 2/n with p prime
Mark, Alice (University Station (Austin, Estats Units d'Amèrica). Department of Mathematics)
Date: |
2015 |
Abstract: |
We present the classification of rellective quadratic forms -px 2/0 + x 2/1 + . . . + x 2/n for p prime. We show that for p = 5, it is re ective for 2 ≤ n ≤ 8, for p = 7 and 17 it is rellective for n = 2 and 3, for p = 11 it is rellective for p = 2, 3; and 4, and it is not rellective for higher values of n. We also show that it is non-rellective for n > 2 when p = 13, 19; and 23. This completes the classfication of these forms with p prime. |
Rights: |
Tots els drets reservats. |
Language: |
Anglès |
Document: |
Article ; recerca ; Versió publicada |
Subject: |
Reflection groups ;
Coxeter groups |
Published in: |
Publicacions matemàtiques, Vol. 59 Núm. 2 (2015) , p. 353-372 (Articles) , ISSN 2014-4350 |
Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/295190
DOI: 10.5565/PUBLMAT_59215_05
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Record created 2015-07-03, last modified 2022-09-04