<p>We obtain a complete description of Rota–Baxter operators of weight zero on the&#xa0;simple non-Lie Malcev algebra over the field of complex numbers.The description is given up to the action of the automorphism group of the algebra and multiplication by a nonzero scalar.</p>

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Rota–Baxter Operators of Weight Zero on a Simple Non-Lie Malcev Algebra

  • M. E. Goncharov

摘要

We obtain a complete description of Rota–Baxter operators of weight zero on the simple non-Lie Malcev algebra over the field of complex numbers.The description is given up to the action of the automorphism group of the algebra and multiplication by a nonzero scalar.