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

Zheng, Keli; Zhang, Yongzheng

doi:10.1155/2013/891241

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2014

2023

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Cited by 2 publications

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References 19 publications

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“…In the case of Lie superalgebras of Cartan type, the invariance of the natural filtrations of some Lie superalgebras was proved in [8,9]. Similar results for Lie superalgebras of generalized Cartan type were obtained in [10][11][12], respectively.…”

Section: Introductionmentioning

confidence: 63%

Natural Filtrations of Infinite-Dimensional Modular Contact Superalgebras

2014

Journal of Applied Mathematics

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The natural filtration of the infinite-dimensional contact superalgebra over an algebraic closed field of positive characteristic is proved to be invariant under automorphisms by characterizing ad-nilpotent elements and the subalgebras generated by certain adnilpotent elements. Moreover, we obtain an intrinsic characterization of contact superalgebras and a property of automorphisms of these Lie superalgebras.

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Section: Introductionmentioning

confidence: 63%

Natural Filtrations of Infinite-Dimensional Modular Contact Superalgebras

2014

Journal of Applied Mathematics

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Derivations of finite-dimensional modular Lie superalgebras $ \overline{K}(n, m) $

Mao

Zheng

2023

era

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<abstract><p>This paper is aimed at determining the derivation superalgebra of modular Lie superalgebra $ \overline{K}(n, m) $. To that end, we first describe the $ \mathbb{Z} $-homogeneous derivations of $ \overline{K}(n, m) $. Then we obtain the derivation superalgebra $ Der(\overline{K}) $. Finally, we partly determine the derivation superalgebra $ Der(K) $ by virtue of the invariance of $ K(n, m) $ under $ Der(\overline{K}) $.</p></abstract>

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

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

Cited by 2 publications

References 19 publications

Natural Filtrations of Infinite-Dimensional Modular Contact Superalgebras

Natural Filtrations of Infinite-Dimensional Modular Contact Superalgebras

Derivations of finite-dimensional modular Lie superalgebras $ \overline{K}(n, m) $

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