Special identities for Bol algebras
Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
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Data(s) |
24/10/2013
24/10/2013
2012
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Resumo |
Bol algebras appear as the tangent algebra of Bol loops. A (left) Bol algebra is a vector space equipped with a binary operation [a, b] and a ternary operation {a, b, c} that satisfy five defining identities. If A is a left or right alternative algebra then A(b) is a Bol algebra, where [a, b] := ab - ba is the commutator and {a, b, c} := < b, c, a > is the Jordan associator. A special identity is an identity satisfied by Ab for all right alternative algebras A, but not satisfied by the free Bol algebra. We show that there are no special identities of degree <= 7, but there are special identities of degree 8. We obtain all the special identities of degree 8 in partition six-two. (C) 2011 Elsevier Inc. All rights reserved. CNPq CNPq FAPESP FAPESP CAPES CAPES |
Identificador |
LINEAR ALGEBRA AND ITS APPLICATIONS, NEW YORK, v. 436, n. 7, supl. 1, Part 3, pp. 2315-2330, APR 1, 2012 0024-3795 http://www.producao.usp.br/handle/BDPI/35864 10.1016/j.laa.2011.09.021 |
Idioma(s) |
eng |
Publicador |
ELSEVIER SCIENCE INC NEW YORK |
Relação |
LINEAR ALGEBRA AND ITS APPLICATIONS |
Direitos |
restrictedAccess Copyright ELSEVIER SCIENCE INC |
Palavras-Chave | #BOL ALGEBRAS #POLYNOMIAL IDENTITIES #COMPUTATIONAL METHODS #REPRESENTATIONS OF THE SYMMETRIC GROUP #JORDAN ALGEBRAS #MATHEMATICS, APPLIED |
Tipo |
article original article publishedVersion |