Rota–Baxter coalgebras and Rota–Baxter bialgebras

2015/07/27 by Tianshui Ma, Linlin Liu · 3 citations
Mathematics · Computer Science · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Matrix Theory and Algorithms

paper · doi:10.1080/03081087.2015.1068269

Abstract

We give a construction of Rota–Baxter coalgebras from Hopf module coalgebras and also derive the structures of the pre-Lie coalgebras via Rota–Baxter coalgebras of different weight. Finally, the notion of Rota–Baxter bialgebra is introduced and some examples are provided.

Cited by

• Rota-Baxter operators on cocommutative Hopf algebras
• Representations and Modules of Rota-Baxter Algebras
• Nijenhuis pre-Lie bialgebras, Nijenhuis Lie bialgebras and \sss-equation

Related

• Rota-Baxter Coalgebras
• Rota-Baxter bisystems and covariant bialgebras
• Bialgebra and Hopf algebra structures on free Rota-Baxter algebras
• Representations and Modules of Rota-Baxter Algebras
• Rota-Baxter Operators on pre-Lie superalgebras and beyond