A retrospect of the research in nonassociative algebras in IME-USP

2021 ◽  
Author(s):  
L. S. I. Murakami ◽  
L. A. Peresi ◽  
I. P. Shestakov
Keyword(s):  
Nonassociative Algebras

scholarly journals CODES, S-STRUCTURES, AND EXCEPTIONAL LIE ALGEBRAS

2019 ◽  
Vol 62 (S1) ◽  
pp. S14-S27 ◽  
Author(s):  
ISABEL CUNHA ◽  
ALBERTO ELDUQUE
Keyword(s):  
Lie Algebras ◽  
Simple Lie Algebras ◽  
Nonassociative Algebras ◽  
Exceptional Lie Algebras

AbstractThe exceptional simple Lie algebras of types E7 and E8 are endowed with optimal $\mathsf{SL}_2^n$ -structures, and are thus described in terms of the corresponding coordinate algebras. These are nonassociative algebras which much resemble the so-called code algebras.

Semisimple classes and lower radicals of topological nonassociative algebras

1990 ◽  
Vol 51 (4) ◽  
pp. 2487-2496
Author(s):  
K. I. Beidar ◽  
S. T. Glavatskii ◽  
A. V. Mikhalev
Keyword(s):  
Nonassociative Algebras

A class of simple nonassociative algebras

1989 ◽  
Vol 45 (1) ◽  
pp. 68-71 ◽  
Author(s):  
V. T. Filippov
Keyword(s):  
Nonassociative Algebras

scholarly journals A Class of Nonassociative Algebras

2007 ◽  
Vol 14 (02) ◽  
pp. 313-326 ◽  
Author(s):  
Michel Goze ◽  
Elisabeth Remm
Keyword(s):  
Symmetric Group ◽  
Natural Action ◽  
Nonassociative Algebras

In this paper, we classify the nonassociative algebras whose associator satisfies relations defined by a natural action of the symmetric group of degree 3.

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