Title: On identities of a Ternary Quaternion Algebra
Authors: Beites, P. D. 
Nicolás, A. P. 
Pozhidaev, A. P. 
Saraiva, P. 
Keywords: Composition algebra; Derivation; Enveloping algebra; Filippov algebra; Identity; Triple system.
Issue Date: Mar-2011
Publisher: Taylor & Francis
Project: FCT individual grant (first author): SFRH/BD/37907/2007 
Abstract: This article studies a simple 4-dimensional ternary algebra A which appears analogously to the quaternions from the Lie algebra sl_2. We describe the heights 1 and 2 identities, and the derivations of A. Based on A, some ternary enveloping algebras for ternary Filippov algebras are constructed.
URI: http://hdl.handle.net/10316/43983
ISSN: 0092-7872 print/1532-4125 online
DOI: 10.1080/00927871003601659
Rights: openAccess
Appears in Collections:FEUC- Artigos em Revistas Internacionais

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