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Z-Graded Lie Superalgebras with Depth One over Fields of Prime Characteristic

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Abstract

Let F be a field of characteristic p > 3, and L = ⊕ i≥minus;1 L i the finite-dimensional transitive Z-graded simple Lie superalgebral over F. In this paper L is determined if the Z-graded Lie superalgebra L −1 ⊕L 0 is isomorphic to the L −1⊕pl (L −1) or L −1⊕spl (L −1).

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Authors and Affiliations

  1. Department of Mathematics, Northeast Normal University, Changchun, 130024, P. R. China

    Yong Zheng Zhang

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  1. Yong Zheng Zhang
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Correspondence to Yong Zheng Zhang.

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Research supported by KPFME and NNSF of China

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Zhang, Y.Z. Z-Graded Lie Superalgebras with Depth One over Fields of Prime Characteristic. Acta Math Sinica 18, 687–700 (2002). https://doi.org/10.1007/s10114-002-0205-7

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  • DOI: https://doi.org/10.1007/s10114-002-0205-7

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