On associative representations of non-associative algebras

Kornev, A. I.; Shestakov, I. P.

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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

On associative representations of non-associative algebras

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Author(s):	Kornev, A. I. ^[1] ; Shestakov, I. P. ^[2] Total Authors: 2
Affiliation:	^[1] Fed Univ ABC UFABC, Av Estados, 5001 Bangu, BR-09210580 Santo Andre, SP - Brazil ^[2] Univ Sao Paulo, BR-03178200 Sao Paulo, SP - Brazil Total Affiliations: 2
Document type:	Journal article
Source:	JOURNAL OF ALGEBRA AND ITS APPLICATIONS; v. 17, n. 3 MAR 2018.
Web of Science Citations:	0
Abstract
We define a notion of associative representation for algebras. We prove the existence of faithful associative representations for any alternative, Mal'cev, and Poisson algebra, and prove analogs of Ado-Iwasawa theorem for each of these cases. We construct also an explicit associative representation of the Cayley-Dickson algebra in the matrix algebra M-8(F). (AU)

FAPESP's process:	14/09310-5 - Algebraic structures and their representations
Grantee:	Vyacheslav Futorny
Support Opportunities:	Research Projects - Thematic Grants

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