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Clifford-Littlewood-Eckmann groups as orthogonal groups of forms of higher degree

Object's details: Clifford-Littlewood-Eckmann groups as orthogonal groups of forms of higher degree

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Provider:Czasopisma Wydawnictwa Uniwersytetu Śląskiego

Description

Title:
Clifford-Littlewood-Eckmann groups as orthogonal groups of forms of higher degree
Creator:
Sładek, Andrzej;
Wesołowski, Adam
Description:
Forms of degree higher than 2 behave in a quite different way than quadratic forms. Jordan [J] proved finiteness of orthogonal groups of nonsingular forms of degree ≥ 3, whereas it is known that quadratic forms, even if nonsingular, provide us mainly with infinite orthogonal groups. In this paper we describe the orthogonal groups of separable forms of degree at least 3 and for any Clifford-Littlewood-Eckmann group G we construct a form over the rational number field ℚ with the orthogonal group isomorphic to G.
Object availability:
free access
Date:
1998.09.30
Type:
info:eu-repo/semantics/article;
info:eu-repo/semantics/publishedVersion;
Recenzowany artykuł
Language:
English
Source:
Annales Mathematicae Silesianae; Vol 12 (1998); 93-103;
Annales Mathematicae Silesianae; Tom 12 (1998); 93-103;
2391-4238;
0860-2107
Format:
application/pdf
Publisher:
University of Silesia Press
Relation: https://journals.us.edu.pl/index.php/AMSIL/article/view/14166/10896
Identifier: https://journals.us.edu.pl/index.php/AMSIL/article/view/14166
Data provider:
Czasopisma Wydawnictwa Uniwersytetu Śląskiego

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