The Natural Filtration of Finite Dimensional Modular Lie Superalgebras of Special Type

The Natural Filtration of Finite Dimensional Modular Lie Superalgebras of Special Type

This paper is concerned with the natural filtration of Lie superalgebra S(n,m) of special type over a field of prime characteristic. We first construct the modular Lie superalgebra S(n,m). Then we prove that the natural filtration of S(n,m) is invariant under its automorphisms.

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Veröffentlicht in:Abstract and Applied Analysis 2013-01, Vol.2013 (2013), p.249-255-1221
Hauptverfasser: Zheng, Keli, Zhang, Yongzheng
Format: Artikel
Sprache:eng
Schlagworte:
Automorphisms
Construction
Filters (Mathematics)
Filtration
Invariants
Mathematical analysis
Mathematical research
Modular
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Zusammenfassung:This paper is concerned with the natural filtration of Lie superalgebra S(n,m) of special type over a field of prime characteristic. We first construct the modular Lie superalgebra S(n,m). Then we prove that the natural filtration of S(n,m) is invariant under its automorphisms.
ISSN:1085-3375
1687-0409
DOI:10.1155/2013/891241