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Curved Rota-Baxter systems / Tomasz Brzezinski

Bulletin of the Belgian Mathematical Society - Simon Stevin, Volume: 23, Issue: 5, Pages: 713 - 720

Swansea University Author: Tomasz, Brzezinski

Abstract

Rota-Baxter systems are modified by the inclusion of a curvature term. It is shown that, subject to specific properties of the curvature form, curved Rota- Baxter systems (A,R,S,ω) induce associative and (left) pre-Lie products on the algebra A. It is also shown that if both Rota-Baxter operators co...

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Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin
ISSN: 1370-1444
Published: 2017
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa27393
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Abstract: Rota-Baxter systems are modified by the inclusion of a curvature term. It is shown that, subject to specific properties of the curvature form, curved Rota- Baxter systems (A,R,S,ω) induce associative and (left) pre-Lie products on the algebra A. It is also shown that if both Rota-Baxter operators coincide with each other and the curvature is A-bilinear, then the (modified by R) Hochschild coho- mology ring over A is a curved differential graded algebra.
College: College of Science
Issue: 5
Start Page: 713
End Page: 720