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

31 p, 394.1 KB

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