Simple finite-dimensional double algebras

DOI10.1016/J.JALGEBRA.2017.04.020zbMath1437.16014arXiv1611.01992OpenAlexW2554412622MaRDI QIDQ1702710

M. E. Goncharov, Pavel Sergeevich Kolesnikov

Publication date: 28 February 2018

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

Full work available at URL: https://arxiv.org/abs/1611.01992

zbMATH Keywords

averaging operatorRota-Baxter operatordouble Lie algebra

Mathematics Subject Classification ID

Finite-dimensional division rings (16K20) Yang-Baxter equations (16T25) Associative rings and algebras with additional structure (16W99)

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Cites Work

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• What is a classical r-matrix?
• Noncommutative geometry and quiver algebras
• Averaging algebras, Schröder numbers, rooted trees and operads
• Rota-Baxter operators on the polynomial algebra, integration, and averaging operators
• Double Poisson vertex algebras and non-commutative Hamiltonian equations
• Double Poisson brackets on free associative algebras
• Double Poisson algebras
• Homogeneous averaging operators on simple finite conformal Lie algebras

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