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Curved Rota-Baxter systems

Tomasz Brzezinski Orcid Logo

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

Swansea University Author: Tomasz Brzezinski Orcid Logo

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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...

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Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin
ISSN: 1370-1444
Published: 2017
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URI: https://cronfa.swan.ac.uk/Record/cronfa27393
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first_indexed 2016-04-23T01:11:41Z
last_indexed 2018-07-26T13:10:46Z
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spelling 2018-07-26T09:26:06.3756675 v2 27393 2016-04-22 Curved Rota-Baxter systems 30466d840b59627325596fbbb2c82754 0000-0001-6270-3439 Tomasz Brzezinski Tomasz Brzezinski true false 2016-04-22 SMA 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. Journal Article Bulletin of the Belgian Mathematical Society - Simon Stevin 23 5 713 720 1370-1444 6 1 2017 2017-01-06 http://projecteuclid.org/euclid.bbms/1483671622 COLLEGE NANME Mathematics COLLEGE CODE SMA Swansea University 2018-07-26T09:26:06.3756675 2016-04-22T13:27:50.8062728 Faculty of Science and Engineering School of Mathematics and Computer Science - Mathematics Tomasz Brzezinski 0000-0001-6270-3439 1 0027393-22042016133009.pdf c_rota_baxter.pdf 2016-04-22T13:30:09.4970000 Output 251523 application/pdf Accepted Manuscript true 2016-04-22T00:00:00.0000000 false
title Curved Rota-Baxter systems
spellingShingle Curved Rota-Baxter systems
Tomasz Brzezinski
title_short Curved Rota-Baxter systems
title_full Curved Rota-Baxter systems
title_fullStr Curved Rota-Baxter systems
title_full_unstemmed Curved Rota-Baxter systems
title_sort Curved Rota-Baxter systems
author_id_str_mv 30466d840b59627325596fbbb2c82754
author_id_fullname_str_mv 30466d840b59627325596fbbb2c82754_***_Tomasz Brzezinski
author Tomasz Brzezinski
author2 Tomasz Brzezinski
format Journal article
container_title Bulletin of the Belgian Mathematical Society - Simon Stevin
container_volume 23
container_issue 5
container_start_page 713
publishDate 2017
institution Swansea University
issn 1370-1444
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Mathematics and Computer Science - Mathematics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Mathematics and Computer Science - Mathematics
url http://projecteuclid.org/euclid.bbms/1483671622
document_store_str 1
active_str 0
description 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.
published_date 2017-01-06T03:33:12Z
_version_ 1763751381326364672
score 11.035634

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