Filtration, automorphisms and classification of the infinite dimensional odd Contact superalgebras superalgebras

Details Filtration, automorphisms and classification of the infinite dimensional odd Contact superalgebras superalgebras Filtration, automorphisms and classification of the infinite dimensional odd Contact superalgebras superalgebras

2010-01-04

arxiv.org/abs/1001.0427v1

Mathematics

Rings and Algebras

10 pages

Scientific paper

The principal filtration of the infinite-dimensional odd Contact Lie superalgebra over a field of characteristic $p>2$ is proved to be invariant under the automorphism group by investigating ad-nilpotent elements and determining certain invariants such as subalgebras generated by some ad-nilpotent elements. Then, it is proved that two automorphisms coincide if and only if they coincide on the -1 component with respect to the principal grading. Finally, all the odd Contact superalgebras are classified up to isomorphisms.

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