Algebraic Bol loops
| Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
|---|---|
| Data(s) |
20/10/2012
20/10/2012
2011
|
| Resumo |
In this paper, we study the category of algebraic Bol loops over an algebraically closed field of definition. On the one hand, we apply techniques from the theory of algebraic groups in order to prove structural theorems for this category. On the other hand, we present some examples showing that these loops lack some nice properties of algebraic groups; for example, we construct local algebraic Bol loops which are not birationally equivalent to global algebraic loops. University of Wurzburg (Germany)[MEIF-CT-2006-041105] University of Wurzburg (Germany) CAPES Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) FAPESP Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) CNPq (Brazil) |
| Identificador |
FORUM MATHEMATICUM, v.23, n.3, p.655-668, 2011 0933-7741 http://producao.usp.br/handle/BDPI/30683 10.1515/FORM.2011.032 |
| Idioma(s) |
eng |
| Publicador |
WALTER DE GRUYTER & CO |
| Relação |
Forum Mathematicum |
| Direitos |
restrictedAccess Copyright WALTER DE GRUYTER & CO |
| Palavras-Chave | #Bol loops #algebraic loops #simple loops #algebraic groups as multiplication groups #local algebraic loops #MOUFANG LOOPS #Mathematics, Applied #Mathematics |
| Tipo |
article original article publishedVersion |
