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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
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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 co...
| Published in: | Bulletin of the Belgian Mathematical Society - Simon Stevin |
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| ISSN: | 1370-1444 |
| Published: |
2017
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| Online Access: |
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| 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. |
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| College: |
Faculty of Science and Engineering |
| Issue: |
5 |
| Start Page: |
713 |
| End Page: |
720 |