On associative representations of non-associative algebras-Reference-Cited by-同舟云学术

On associative representations of non-associative algebras

Published:2018-02-05 Issue:03 Volume:17 Page:1850051
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Kornev A. I.¹,Shestakov I. P.²

Affiliation:

1. Federal University of ABC (UFABC), Av. dos Estados, 5001-Bangú, Santo André-SP, 09210-580, Brazil

2. University of São Paulo (USP), Butantã, São Paulo, State of São Paulo, 03178-200, Brazil

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 [Formula: see text]

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498818500512

Reference15 articles.

1. Poisson algebras in terms of non-associative algebras

2. Quark structure and octonions

3. Structure of Rings

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