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Structurable Superalgebras of Classical Type
Authors:John R Faulkner
Institution:1. Department of Mathematics , University of Virginia , Charlottesville, Virginia, USA jrf@virginia.edu
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.
Keywords:Cubic form  Hermitian superform  Lie superalgebra  Structurable superalgebra
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