Representations of exceptional simple alternative superalgebras of characteristic 3
Authors:
M. C. López-Díaz and Ivan P. Shestakov
Journal:
Trans. Amer. Math. Soc. 354 (2002), 2745-2758
MSC (2000):
Primary 17D05, 17A70, 17C70
DOI:
https://doi.org/10.1090/S0002-9947-02-02993-8
Published electronically:
March 7, 2002
MathSciNet review:
1895201
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
Abstract: We study representations of simple alternative superalgebras 
and 
. The irreducible bimodules and bimodules with superinvolution over these superalgebras are classified, and some analogues of the Kronecker factorization theorem are proved for alternative superalgebras that contain 
and 
.
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Additional Information
M. C. López-Díaz
Affiliation:
Departamento de Matemáticas, Universidad de Oviedo, C/ Calvo Sotelo, s/n, 33007, Oviedo, Spain
Email:
cld@pinon.ccu.uniovi.es
Ivan P. Shestakov
Affiliation:
Instituto de Matemática e Estatística, Universidade de São Paulo, Caixa Postal 66281 - CEP 05315-970, São Paulo, Brasil;
Sobolev Institute of Mathematics, Novosibirsk, 630090, Russia
Email:
shestak@ime.usp.br
DOI:
https://doi.org/10.1090/S0002-9947-02-02993-8
Keywords:
Alternative superalgebra and superbimodule,
superinvolution,
factorization theorem
Received by editor(s):
April 17, 2001
Published electronically:
March 7, 2002
Additional Notes:
The first author was supported by FAPESP 2000/03404-5 and FICYT PB-PGI 99-04
The second author was supported by CNPq grant 300528/99-0
Article copyright:
© Copyright 2002
American Mathematical Society
