A Poincar\'e-Birkhoff-Witt Theorem for profinite pronilpotent Lie algebras

zbMath1451.17005arXiv1804.00254MaRDI QIDQ5241591

Alastair Hamilton

Publication date: 31 October 2019

Full work available at URL: https://arxiv.org/abs/1804.00254

zbMATH Keywords

infinite-dimensional Lie algebraformal power seriesPoincaré-Birkhoff-Wittprofinite vector spacepronilpotent Lie algebra

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Universal enveloping (super)algebras (17B35) Identities, free Lie (super)algebras (17B01) Infinite-dimensional Lie (super)algebras (17B65) Filtered associative rings; filtrational and graded techniques (16W70)

Related Items (1)

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Cites Work

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• The intrinsic bracket on the deformation complex of an associative algebra
• Cohomology theories for homotopy algebras and noncommutative geometry
• On the structure of behaviors
• Poincaré-Birkhoff-Witt theorem for quadratic algebras of Koszul type
• A nondiagrammatic description of the Connes-Kreimer Hopf algebra.
• Renormalization in quantum field theory and the Riemann-Hilbert problem. I: The Hopf algebra structure of graphs and the main theorem
• The cohomology structure of an associative ring

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