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The structure of Lie superalgebras with semisimple even part

✍ Scribed by F. A. Berezin; V. S. Retakh

Publisher
Springer US
Year
1978
Tongue
English
Weight
241 KB
Volume
12
Category
Article
ISSN
0016-2663

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πŸ“œ SIMILAR VOLUMES

Lie Superalgebras with Semisimple Even P
Lie Superalgebras with Semisimple Even Part
✍ Alberto Elduque πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 206 KB

Finite-dimensional Lie superalgebras G s G [ G over an algebraically closed 0 1 field of characteristic zero, in which G is a completely reducible module for the 1 Lie algebra G , are described. In particular, the Lie superalgebras with semisimple 0 even part are described.

On the Lie Structure of the Skew Element
On the Lie Structure of the Skew Elements of a Simple Superalgebra with Superinvolution
✍ Carlos GΓ³mez-Ambrosi; Ivan P. Shestakov πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 321 KB

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