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Communications in Algebra Volume 39, 2011 - Issue 10
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Original Articles

Ad-Nilpotent Elements, Isomorphisms, and the Weisfeiler Filtration of Infinite-Dimensional Modular Odd Contact Superalgebras

Qiang Mu School of Mathematical Sciences, Harbin Normal University, Harbin, China; School of Mathematics and Statistics, Northeast Normal University, Changchun, ChinaCorrespondence[email protected]
,
Li Ren School of Mathematics and Statistics, Northeast Normal University, Changchun, China
&
Yongzheng Zhang School of Mathematics and Statistics, Northeast Normal University, Changchun, China
Pages 3581-3593 | Received 27 Nov 2008, Published online: 14 Oct 2011
 
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Abstract

The Weisfeiler filtrations of infinite-dimensional odd contact superalgebras over fields of positive characteristic are proved to be invariant under automorphisms by characterizing ad-nilpotent elements. Thereby, we are able to obtain an intrinsic characterization of odd contact superalgebras and a property of automorphisms of these Lie superalgebras.

2000 Mathematics Subject Classification:

ACKNOWLEDGMENTS

The authors thank the anonymous referee for the careful reading of the article and for several helpful suggestions. The first author was supported by Heilongjiang Provincial Natural Science Foundation of China (No. A201008), Scientific Research Fund of Heilongjiang Provincial Education Department (No. 12511157), and Pre-Research Foundation of Harbin Normal University (No. 10XYG-02).

Notes

Communicated by K. Misra.

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