Structurable Superalgebras of Classical Type |
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Authors: | John R Faulkner |
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Institution: | 1. Department of Mathematics , University of Virginia , Charlottesville, Virginia, USA jrf@virginia.edu |
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Abstract: | This article classifies simple structurable superalgebras with nontrivial involution over algebraically closed fields of characteristic 0 whose Kantor Lie superalgebra is of classical (i.e., non-Cartan) type. These are either structurable superalgebras of a hermitian superform or two examples constructed from cubic forms. It also makes extensive use of the Grassmann envelope to transfer constructions and results from ordinary algebras to superalgebras. |
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Keywords: | Cubic form Hermitian superform Lie superalgebra Structurable superalgebra |
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