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Representations of exceptional simple alternative superalgebras of characteristic 3
Author(s):
M.
C.
López-Díaz;
Ivan
P.
Shestakov
Journal:
Trans. Amer. Math. Soc.
354
(2002),
2745-2758.
MSC (2000):
Primary 17D05, 17A70, 17C70
Posted:
March 7, 2002
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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  .
References:
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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:
10.1090/S0002-9947-02-02993-8
PII:
S 0002-9947(02)02993-8
Keywords:
Alternative superalgebra and superbimodule,
superinvolution,
factorization theorem
Received by editor(s):
April 17, 2001
Posted:
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
Copyright of article:
Copyright
2002,
American Mathematical Society
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