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arXiv · 2111.02035

Classification of pre-Jordan Algebras and Rota-Baxter Operators on Jordan Algebras in Low Dimensions

Yuze Sun·Zhen Huang·Shilong Zhao·Zheshuai Tian
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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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Yuze Sun, Zhen Huang, Shilong Zhao, Zheshuai Tian. 2021-11-03. Classification of pre-Jordan Algebras and Rota-Baxter Operators on Jordan Algebras in Low Dimensions. https://arxiv.org/abs/2111.02035

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