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Free modified Rota-Baxter algebras and Hopf algebras

Published 9 Jan 2019 in math.RA and math.QA | (1901.02869v1)

Abstract: The notion of a modified Rota-Baxter algebra comes from the combination of those of a Rota-Baxter algebra and a modified Yang-Baxter equation. In this paper, we first construct free modified Rota-Baxter algebras. We then equip a free modified Rota-Baxter algebra with a bialgebra structure by a cocycle construction. Under the assumption that the generating algebra is a connected bialgebra, we further equip the free modified Rota-Baxter algebra with a Hopf algebra structure.

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Authors (3)

  1. Xigou Zhang 
  2. Xing Gao 
  3. Li Guo 

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