XXXVII Workshop on Geometric Methods in Physics 1-7.07.2018
VII School on Geometry and Physics 25-29.06.2018

Petr Novotný

Generalized derivations of Jordan algebras

The definition of derivations of Jordan algebras is generalized by considering complex multiples of original terms. Dimensions of obtained spaces of linear operators are new invariant characteristics of Jordan algebras. These invariant characteristics form a complete set of invariants for indecomposable Jordan algebras up to dimension four. Values of these invariants for all semisimple Jordan algebras are obtained.

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of Bialystok
University of Bialystok

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