Enriched pre-Lie operads and freeness theorems

DOI10.4171/JCA/58zbMath1495.18025arXiv2002.10536OpenAlexW3175153128WikidataQ113692000 ScholiaQ113692000MaRDI QIDQ2154779

Vladimir Dotsenko, Loïc Foissy

Publication date: 15 July 2022

Published in: Journal of Combinatorial Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.10536

zbMATH Keywords

operadrooted treepre-Lie algebraPoincaré-Birkhoff-Witt theorembrace algebra

Mathematics Subject Classification ID

Trees (05C05) Free, projective, and flat modules and ideals in associative algebras (16D40) Universal enveloping (super)algebras (17B35) Algebraic operads, cooperads, and Koszul duality (18M70) Species, Hopf monoids, operads in combinatorics (18M80)

Related Items (2)

Three Schur functors related to pre-Lie algebras ⋮ Homotopical rigidity of the pre-Lie operad

Cites Work

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• Crossed interval groups and operations on the Hochschild cohomology
• Cacti and filtered distributive laws
• Colored species, \(c\)-monoids, and plethysm. I
• The Hopf algebras of decorated rooted trees. II
• Symmetric brace algebras
• Lie theory for Hopf operads
• Unifying derived deformation theories
• Möbius species
• The equivalence of certain categories of twisted Lie and Hopf algebras over a commutative ring
• Higher operations on the Hochschild complex
• Word operads and admissible orderings
• Operadic twisting -- with an application to Deligne's conjecture
• Combinatorial operads from monoids
• The non-symmetric operad pre-Lie is free
• The cohomology structure of an associative ring
• A rigidity theorem for pre-Lie algebras
• A Milnor–Moore theorem for dendriform Hopf algebras
• Operads of natural operations I: Lattice paths, braces and Hochschild cochains
• Freeness theorems for operads via Gr\"obner bases
• Free Brace Algebras are Free Pre-Lie Algebras
• Six operations formalism for generalized operads
• Triviality of the higher formality theorem
• Cohomology operations and the deligne conjecture
• Gröbner–Shirshov bases for brace algebras
• Endofunctors and Poincaré–Birkhoff–Witt Theorems
• THE PRE-LIE OPERAD AS A DEFORMATION OF NAP
• A Quillen Adjunction Between Algebras and Operads, Koszul Duality, and the Lagrange Inversion Formula
• A Cartier-Milnor-Moore-Quillen theorem for the dendriform bigebras and the brace algebras

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