Z-Graded Lie Superalgebras with Depth One over Fields of Prime Characteristic |
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| Authors: | Yong Zheng Zhang |
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| Affiliation: | (1) College of Mathematics & Information Science of Wenzhou University, Wenzhou 325027, P. R. China E-mail: mwxx10@hotmail.com, CN |
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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). Received November 10, 1999, Accepted April 7, 2000 |
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| Keywords: | Lie superalgebra Exterior algebra Field of prime characteristic |
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