Twisting on associative algebras and Rota-Baxter type operators

2007/10/23 by Kyousuke Uchino, Uchino, Kyousuke · 1 citation
Mathematics · #13D03 #16S80 #17B62 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA) #Symplectic Geometry (math.SG)

paper · pdf · doi:10.48550/arxiv.0710.4309

openalex publication_date 2007/10/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We will introduce an operation "twisting" on Hochschild complex by analogy with Drinfeld's twisting operations. By using the twisting and derived bracket construction, we will study differential graded Lie algebra structures associated with bi-graded Hochschild complex. We will show that Rota-Baxter type operators are solutions of Maurer-Cartan equations. As an application of twisting, we will give a construction of associative Nijenhuis operators.

Citations

• On the Associative Analog of Lie Bialgebras

Cited by

• Twisted Rota-Baxter operators on 3-Leibniz algebras and NS-3-Leibniz algebras

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