| Generalized Lie Superalgebras of Cartan Type |
| Received:June 02, 1993 |
| Key Words:
generalized Lie superalgebra, Grassmann algebra
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| Abstract: |
| Let F be a field of characteristic p≠2. In this paper, we define the generalized Lie superalgebra over F and prove the criterion of simplicity of a Z-graded generalized Lie superalgebra. We give the definition of the finite dimensional Cartan generalized Lie superalgebra W(n) and prove the simplicity of W(n). Finally, for Cartan generalized Lie superalgebras S(n) and H(n),we give the same result as for W(n). |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.1995.05.018 |
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