Derived Poincaré-Birkhoff-Witt theorems. With an appendix by Vladimir Dotsenko

DOI10.1007/s11005-022-01617-zOpenAlexW4317936114WikidataQ123365607 ScholiaQ123365607MaRDI QIDQ2687710

Pedro Tamaroff, A. S. Khoroshkin

Publication date: 7 March 2023

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.06055

zbMATH Keywords

universal enveloping algebrasalgebraic operadshomotopical algebra\(L_{\infty}\)-algebras

Mathematics Subject Classification ID

Homotopical algebra, Quillen model categories, derivators (18N40) Operads (general) (18M60) Algebraic operads, cooperads, and Koszul duality (18M70)

Related Items (1)

Three Schur functors related to pre-Lie algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Quillen homology for operads via Gröbner bases
• On the non-existence of elements of Hopf invariant one
• Relative formality theorem and quantisation of coisotropic submanifolds
• A universal enveloping for \(L_\infty\)-algebras.
• Koszul duality for operads
• Higher enveloping algebras
• The Milnor-Moore theorem for \(L_\infty\) algebras in rational homotopy theory
• Homotopy theory of homotopy algebras
• Holonomies for connections with values in \(L_\infty\)-algebras
• Modules over operads and functors
• Higher derived brackets and homotopy algebras
• Deformation theory of representations of prop(erad)s II
• Higher Poisson Brackets and Differential Forms
• Homological algebra of homotopy algebras
• Strongly homotopy lie algebras
• Endofunctors and Poincaré–Birkhoff–Witt Theorems
• Algebraic Operads

This page was built for publication: Derived Poincaré-Birkhoff-Witt theorems. With an appendix by Vladimir Dotsenko