RESEARCH ARTICLE

Filtration, automorphisms, and classification of infinite-dimensional odd contact superalgebras

  • Jixia YUAN 1 ,
  • Wende LIU , 2
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  • 1. School of Mathematical Sciences, Heilongjiang University, Harbin 150080, China
  • 2. School of Mathematical Sciences, Harbin Normal University, Harbin 150025, China

Received date: 01 Jan 2010

Accepted date: 04 Jan 2012

Published date: 01 Feb 2013

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg

Abstract

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.

Cite this article

Jixia YUAN , Wende LIU . Filtration, automorphisms, and classification of infinite-dimensional odd contact superalgebras[J]. Frontiers of Mathematics in China, 2013 , 8(1) : 203 -216 . DOI: 10.1007/s11464-012-0185-6

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