Quantizations of transposed Poisson algebras by Novikov deformations

DOI10.1088/1751-8121/AD9128MaRDI QIDQ6649907

Siyuan Chen, Chengming Bai

Publication date: 6 December 2024

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

zbMATH Keywords

deformationquantizationNovikov algebratransposed Poisson algebra

Mathematics Subject Classification ID

Nonassociative rings and algebras (17-XX) Associative rings and algebras (16-XX)

Cites Work

• Title not available (Why is that?)
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• Hamiltonian operators and algebraic structures related to them
• Left-symmetric structures on simple modular Lie algebras
• Novikov-Poisson algebras
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• \(\frac12\)-derivations of Lie algebras and transposed Poisson algebras
• \(F\)-manifold algebras and deformation quantization via pre-Lie algebras
• Algebras with one operation including Poisson and other Lie-admissible algebras
• The classification of Novikov algebras in low dimensions
• On the realization of transitive Novikov algebras
• Codimension Growth and Non-Koszulity of Novikov Operad
• An Introduction to Pre‐Lie Algebras
• Special Identity for Novikov–Jordan Algebras
• Algebraic operads. An algorithmic companion
• Algebraic Operads
• Transposed Poisson algebras, Novikov-Poisson algebras and 3-Lie algebras
• Identities for deformation quantizations of almost Poisson algebras
• Some generalizations of the variety of transposed Poisson algebras
• Non-associative algebraic structures: classification and structure

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