Outer functors and a general operadic framework

DOI10.1016/j.jalgebra.2024.01.015arXiv2201.13307WikidataQ129390086 ScholiaQ129390086MaRDI QIDQ6153577

Geoffrey M. L. Powell

Publication date: 14 February 2024

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

Full work available at URL: https://arxiv.org/abs/2201.13307

zbMATH Keywords

polynomial functoranalytic functorLie algebra homologyPROPLie operadfunctors on free groupsouter functor

Mathematics Subject Classification ID

Identities, free Lie (super)algebras (17B01) (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Functor categories, comma categories (18A25) Algebraic operads, cooperads, and Koszul duality (18M70) Polycategories/dioperads, properads, PROPs, cyclic operads, modular operads (18M85)

Cites Work

• Unnamed Item
• Hopf algebras and invariants of the Johnson cokernel
• Lie theory of formal groups over an operad.
• The Kontsevich integral for bottom tangles in handlebodies
• Modules over operads and functors
• Modules and Morita theorem for operads
• Polynomial Functors from Algebras Over a Set-Operad and Nonlinear Mackey Functors
• Hochschild-Pirashvili homology on suspensions and representations of Out(F_n)
• Algebraic Operads
• ACTIONS OF AUTOMORPHISM GROUPS OF FREE GROUPS ON SPACES OF JACOBI DIAGRAMS. II
• Actions of automorphism groups of free groups on spaces of Jacobi diagrams. I

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