Jacobi–Jordan algebras
Copyright policy )Jacobi–Jordan algebras
We study finite-dimensional commutative algebras, which satisfy the Jacobi identity. Such algebras are Jordan algebras. We describe some of their properties and give a classification in dimensions $n<7$ over algebraically closed fields of characteristic not $2$ or $3$.
- University of Vienna Austria
- Eötvös Loránd University Hungary
Jacobi identity, commutative nilalgebra, Rings and Algebras (math.RA), Jordan algebra, FOS: Mathematics, 101001 Algebra, Finite-dimensional structures of Jordan algebras, Mathematics - Rings and Algebras, Structure theory for Jordan algebras
Jacobi identity, commutative nilalgebra, Rings and Algebras (math.RA), Jordan algebra, FOS: Mathematics, 101001 Algebra, Finite-dimensional structures of Jordan algebras, Mathematics - Rings and Algebras, Structure theory for Jordan algebras
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