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The Kac Jordan superalgebra: automorphisms and maximal subalgebras
Author(s):
Alberto
Elduque;
Jesús
Laliena;
Sara
Sacristán
Journal:
Proc. Amer. Math. Soc.
135
(2007),
3805-3813.
MSC (2000):
Primary 17C70
Posted:
September 7, 2007
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Abstract:
In this note the group of automorphisms of the Kac Jordan superalgebra is described and used to classify the maximal subalgebras.
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Additional Information:
Alberto
Elduque
Affiliation:
Departamento de Matemáticas, Universidad de Zaragoza, 50009 Zaragoza, Spain
Email:
elduque@unizar.es
Jesús
Laliena
Affiliation:
Departamento de Matemáticas y Computación, Universidad de La Rioja, 26004, Logroño, Spain
Email:
jesus.laliena@dmc.unirioja.es
Sara
Sacristán
Affiliation:
Departamento de Matemáticas y Computación, Universidad de La Rioja, 26004, Logroño, Spain
Email:
ssacrist@barpimo.com
DOI:
10.1090/S0002-9939-07-08938-1
PII:
S 0002-9939(07)08938-1
Keywords:
Kac Jordan superalgebra,
automorphism,
maximal subalgebra
Received by editor(s):
September 6, 2005
Received by editor(s) in revised form:
September 26, 2006
Posted:
September 7, 2007
Additional Notes:
The first and second authors have been supported by the Spanish Ministerio de Educación y Ciencia and FEDER (MTM 2004-081159-C04-02). The first author also acknowledges support of the Diputación General de Aragón (Grupo de investigación de Álgebra)
Communicated by:
Martin Lorenz
Copyright of article:
Copyright
2007,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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