Jacobi–Jordan algebras

By Dietrich Burde, Alice Fialowski. 2014

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Abstract 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.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/f8bfcfceacf7058f41e5614ca328b1e24a761256