Universal Lie Formulas for Higher Antibrackets
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Universal Lie Formulas for Higher Antibrackets
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| Creator |
Manetti, M.
Ricciardi, G. |
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| Description |
We prove that the hierarchy of higher antibrackets (aka higher Koszul brackets, aka Koszul braces) of a linear operator Δ on a commutative superalgebra can be defined by some universal formulas involving iterated Nijenhuis-Richardson brackets having as arguments Δ and the multiplication operators. As a byproduct, we can immediately extend higher antibrackets to noncommutative algebras in a way preserving the validity of generalized Jacobi identities.
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| Date |
2019-02-15T19:08:20Z
2019-02-15T19:08:20Z 2016 |
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| Type |
Article
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| Identifier |
Universal Lie Formulas for Higher Antibrackets / M. Manetti, G. Ricciardi // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 30 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 17B60; 17B70 DOI:10.3842/SIGMA.2016.053 http://dspace.nbuv.gov.ua/handle/123456789/147749 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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