Constructions and Properties for a Finite-Dimensional Modular Lie Superalgebra Kn,m

Constructions and Properties for a Finite-Dimensional Modular Lie Superalgebra Kn,m

In this paper, a finite-dimensional Lie superalgebra Kn,m over a field of prime characteristic is constructed. Then, we study some properties of Kn,m. Moreover, we prove that Kn,m is an extension of a simple Lie superalgebra, and if m=n−1, then it is isomorphic to a subalgebra of a restricted Lie su...

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Main Authors: Dan Mao, Keli Zheng
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2021/7069556
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spelling doaj-c796d0c5c96a4e85a9c431fc3a7ba2832021-10-11T00:39:35ZengHindawi LimitedJournal of Mathematics2314-47852021-01-01202110.1155/2021/7069556Constructions and Properties for a Finite-Dimensional Modular Lie Superalgebra Kn,mDan Mao0Keli Zheng1Department of MathematicsDepartment of MathematicsIn this paper, a finite-dimensional Lie superalgebra Kn,m over a field of prime characteristic is constructed. Then, we study some properties of Kn,m. Moreover, we prove that Kn,m is an extension of a simple Lie superalgebra, and if m=n−1, then it is isomorphic to a subalgebra of a restricted Lie superalgebra.http://dx.doi.org/10.1155/2021/7069556
collection DOAJ
language English
format Article
sources DOAJ
author Dan Mao
Keli Zheng
spellingShingle Dan Mao
Keli Zheng
Constructions and Properties for a Finite-Dimensional Modular Lie Superalgebra Kn,m
Journal of Mathematics
author_facet Dan Mao
Keli Zheng
author_sort Dan Mao
title Constructions and Properties for a Finite-Dimensional Modular Lie Superalgebra Kn,m
title_short Constructions and Properties for a Finite-Dimensional Modular Lie Superalgebra Kn,m
title_full Constructions and Properties for a Finite-Dimensional Modular Lie Superalgebra Kn,m
title_fullStr Constructions and Properties for a Finite-Dimensional Modular Lie Superalgebra Kn,m
title_full_unstemmed Constructions and Properties for a Finite-Dimensional Modular Lie Superalgebra Kn,m
title_sort constructions and properties for a finite-dimensional modular lie superalgebra kn,m
publisher Hindawi Limited
series Journal of Mathematics
issn 2314-4785
publishDate 2021-01-01
description In this paper, a finite-dimensional Lie superalgebra Kn,m over a field of prime characteristic is constructed. Then, we study some properties of Kn,m. Moreover, we prove that Kn,m is an extension of a simple Lie superalgebra, and if m=n−1, then it is isomorphic to a subalgebra of a restricted Lie superalgebra.
url http://dx.doi.org/10.1155/2021/7069556
work_keys_str_mv AT danmao constructionsandpropertiesforafinitedimensionalmodularliesuperalgebraknm
AT kelizheng constructionsandpropertiesforafinitedimensionalmodularliesuperalgebraknm
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