Abstract

Up to the irreducible representations of the simple three-dimensional Lie algebra s l 2 , we classify the unital finite-dimensional irreducible Jordan representations of the simple superalgebra D ( t ) in the case of an algebraically closed field of characteristic p ≠ 2 . As a corollary we obtain a classification of the finite-dimensional irreducible representations of the Kaplansky superalgebra K 3 in the case of characteristic p ≠ 2 .

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