Hom-Big Brackets: Theory and Applications
In this paper, we introduce the notion of hom-big brackets, which is a generalization of Kosmann-Schwarzbach's big brackets. We show that it gives rise to a graded hom-Lie algebra. Thus, it is a useful tool to study hom-structures. In particular, we use it to describe hom-Lie bialgebras and hom...
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| Datum: | 2016 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут математики НАН України
2016
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| Schriftenreihe: | Symmetry, Integrability and Geometry: Methods and Applications |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/147423 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Hom-Big Brackets: Theory and Applications / L. Cai, Y. Sheng // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 33 назв. — англ. |
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irk-123456789-1474232019-02-15T01:24:02Z Hom-Big Brackets: Theory and Applications Cai, L. Sheng, Y. In this paper, we introduce the notion of hom-big brackets, which is a generalization of Kosmann-Schwarzbach's big brackets. We show that it gives rise to a graded hom-Lie algebra. Thus, it is a useful tool to study hom-structures. In particular, we use it to describe hom-Lie bialgebras and hom-Nijenhuis operators. 2016 Article Hom-Big Brackets: Theory and Applications / L. Cai, Y. Sheng // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 33 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 17B70; 17B62 DOI:10.3842/SIGMA.2016.014 http://dspace.nbuv.gov.ua/handle/123456789/147423 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
In this paper, we introduce the notion of hom-big brackets, which is a generalization of Kosmann-Schwarzbach's big brackets. We show that it gives rise to a graded hom-Lie algebra. Thus, it is a useful tool to study hom-structures. In particular, we use it to describe hom-Lie bialgebras and hom-Nijenhuis operators. |
| format |
Article |
| author |
Cai, L. Sheng, Y. |
| spellingShingle |
Cai, L. Sheng, Y. Hom-Big Brackets: Theory and Applications Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Cai, L. Sheng, Y. |
| author_sort |
Cai, L. |
| title |
Hom-Big Brackets: Theory and Applications |
| title_short |
Hom-Big Brackets: Theory and Applications |
| title_full |
Hom-Big Brackets: Theory and Applications |
| title_fullStr |
Hom-Big Brackets: Theory and Applications |
| title_full_unstemmed |
Hom-Big Brackets: Theory and Applications |
| title_sort |
hom-big brackets: theory and applications |
| publisher |
Інститут математики НАН України |
| publishDate |
2016 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/147423 |
| citation_txt |
Hom-Big Brackets: Theory and Applications / L. Cai, Y. Sheng // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 33 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
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AT cail hombigbracketstheoryandapplications AT shengy hombigbracketstheoryandapplications |
| first_indexed |
2025-07-11T02:02:47Z |
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2025-07-11T02:02:47Z |
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1837314204843900928 |