Defining relations and Gröbner–Shirshov bases of Poisson algebras as of conformal modules

DOI10.1142/S0219498822501389zbMath1504.17026arXiv2011.07339OpenAlexW3135149930MaRDI QIDQ5089428

Pavel Sergeevich Kolesnikov, Aleksander S. Panasenko

Publication date: 19 July 2022

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.07339

zbMATH Keywords

Poisson algebraGröbner-Shirshov basisconformal algebra

Mathematics Subject Classification ID

Vertex operators; vertex operator algebras and related structures (17B69) Poisson algebras (17B63) Gröbner-Shirshov bases in nonassociative algebras (17A61)

Cites Work

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• Conformal modules
• On free conformal and vertex algebras
• Some algorithmic problems for Poisson algebras
• Standard bases for the universal associative conformal envelopes of Kac-Moody conformal algebras
• Field Algebras
• Universal enveloping Poisson conformal algebras
• Gröbner–Shirshov bases for associative conformal algebras with arbitrary locality function
• Gröbner-Shirshov bases for associative conformal modules
• Universal enveloping conformal algebras.

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