Наукова електронна бібліотека
періодичних видань НАН України
періодичних видань НАН України
Universal Lie Formulas for Higher Antibrackets
Репозиторій DSpace/Manakin
- Домашня сторінка
- →
- Фізико-технічні та математичні науки
- →
- Відділення математики
- →
- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
- →
- Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12
- →
- Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12, випуск за цей рік
- →
- Переглянути статтю
JavaScript is disabled for your browser. Some features of this site may not work without it.
Universal Lie Formulas for Higher Antibrackets
Інший ID:
2010 Mathematics Subject Classification: 17B60; 17B70
DOI:10.3842/SIGMA.2016.053
DOI:10.3842/SIGMA.2016.053
Посилання:
Universal Lie Formulas for Higher Antibrackets / M. Manetti, G. Ricciardi // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 30 назв. — англ.
Підтримка:
We thank Bruno Vallette for useful comments and for bringing to our attention the pre-Lie
Magnus expansion. We are indebted with the anonymous referees for several remarks and
especially for letting us into the knowledge of the papers [3, 28]. M.M. acknowledges partial
support by Italian MIUR under PRIN project 2012KNL88Y “Spazi di moduli e teoria di Lie”;
G.R. acknowledges partial support by Italian MIUR under PRIN project 2010YJ2NYW and
INFN under specific initiative QNP.
Дата:
2016
Переглядів:
517
Завантажень:
274
Анотація:
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.
