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<p>All Rota–Baxter operators of weight zero on split Cayley–Dickson algebra with non-matrix images over a field of characteristic not 2 are classified up to conjugation by automorphisms and antiautomorphisms. Moreover, this classification was refined for a quadratically closed field. Thus, the classification of Rota–Baxter operators on composition algebras is finished.</p>

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Rota–Baxter operators of weight zero with non-matrix images on Cayley–Dickson algebra

  • 期刊论文

  • 发表日期：

    2025年6月16日

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  • Alexander S. Panasenko

摘要

All Rota–Baxter operators of weight zero on split Cayley–Dickson algebra with non-matrix images over a field of characteristic not 2 are classified up to conjugation by automorphisms and antiautomorphisms. Moreover, this classification was refined for a quadratically closed field. Thus, the classification of Rota–Baxter operators on composition algebras is finished.