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Classification of pre-Jordan Algebras and Rota-Baxter Operators on Jordan Algebras in Low Dimensions (2111.02035v1)
Published 3 Nov 2021 in math.RA, math-ph, and math.MP
Abstract: This paper is devoted to the classification of complex pre-Jordan algebras in the sense of isomorphisms in dimensions $\leq$ 3. All Rota-Baxter operators on complex Jordan algebras in dimensions $\leq$ 3 and the induced pre-Jordan algebras are also presented.
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