Derivations of the Even Part of Finite-Dimensional
Simple Modular Lie Superalgebra M |
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Authors: | Lili MA and Liangyun CHEN |
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Institution: | Lili MA;Liangyun CHEN;School of Mathematics and Statistics, Northeast Normal University;School of Science, Qiqihar University; |
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Abstract: | Let F be the underlying base field of characteristic p 3 and denote by M the even part of the finite-dimensional simple modular Lie superalgebra M. In this paper, the generator sets of the Lie algebra M which will be heavily used to consider the derivation algebra Der(M) are given. Furthermore, the derivation algebra of M is determined by reducing derivations and a torus of M, i.e.,As a result, the derivation algebra of the even part of M does not equal the even part of the derivation superalgebra of M. |
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Keywords: | Modular Lie superalgebra Derivation algebra Generator sets |
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