Z-Graded Lie Superalgebras with Depth One over Fields of Prime Characteristic |
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| Authors: | Yong Zheng Zhang |
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| Institution: | (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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