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On the Lie Structure of the Skew Elements of a Simple Superalgebra with Superinvolution

✍ Scribed by Carlos Gómez-Ambrosi; Ivan P. Shestakov

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
321 KB
Volume
208
Category
Article
ISSN
0021-8693

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✦ Synopsis

We investigate the Lie structure of the Lie superalgebra K of skew elements of a unital simple associative superalgebra A with superinvolution over a field of characteristic not 2. It is proved that if A is more than 16-dimensional over its w x center Z, then any Lie ideal U of K satisfies either U : Z or U = K, K ; w x w x moreover, any Lie ideal U of K, K satisfies either U : Z or U s K, K . In w x Ž w x. particular, K, K r Z l K, K is a simple Lie superalgebra.

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