On the embedding of left-symmetric algebras into differential Perm-algebras

DOI10.1080/00927872.2022.2028798zbMath1492.17031arXiv2106.00367OpenAlexW3168678759MaRDI QIDQ5080205

B. Sartayev, Pavel Sergeevich Kolesnikov

Publication date: 31 May 2022

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.00367

zbMATH Keywords

Novikov algebrapre-Lie algebraleft-symmetric algebradialgebrapermutative differential algebra

Mathematics Subject Classification ID

Lie-admissible algebras (17D25) Algebraic operads, cooperads, and Koszul duality (18M70)

Related Items (2)

Metabelian Lie and perm algebras ⋮ On pre-Novikov algebras and derived Zinbiel variety

Cites Work

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• The cohomology structure of an associative ring
• Gröbner–Shirshov bases method for Gelfand–Dorfman–Novikov algebras
• Manin products, Koszul duality, Loday algebras and Deligne conjecture
• Replicators, Manin white product of binary operads and average operators
• Operads of decorated trees and their duals
• Domaines bornés homogènes et orbites de groupes de transformations affines
• On finite dimensional simple Novikov superalgebras
• Dialgebras and related operads
• Theory of finite pseudoalgebras

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