Distributive laws between the operads Lie and Com

DOI10.1142/S021819672050054XzbMath1458.18010arXiv1912.05519OpenAlexW3013549840WikidataQ115245886 ScholiaQ115245886MaRDI QIDQ5135740

Vladimir Dotsenko, Murray R. Bremner

Publication date: 23 November 2020

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.05519

zbMATH Keywords

Gröbner basescomputer algebraLie algebrasPoisson algebrasdistributive lawsdeformations of algebrasalgebraic operadscommutative associative algebrasfree modules over polynomial rings

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Projective and free modules and ideals in commutative rings (13C10) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Derivations and commutative rings (13N15) Poisson algebras (17B63) Multilinear algebra, tensor calculus (15A69) Matrices over function rings in one or more variables (15A54) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Quadratic and Koszul algebras (16S37) Nonassociative algebras satisfying other identities (17A30) Free nonassociative algebras (17A50) Operads (general) (18M60)

Related Items (max. 100)

Identities for deformation quantizations of almost Poisson algebras ⋮ Divided power algebras and distributive laws ⋮ Distributive laws between the Three Graces

Uses Software

• Maple

Cites Work

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• Cacti and filtered distributive laws
• Distributive laws and Koszulness
• Algebras with one operation including Poisson and other Lie-admissible algebras
• Distributive laws between the Three Graces
• Classification of Regular Parametrized One-relation Operads
• Algebraic Operads
• Algebraic Operads

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