Enveloping algebras of Krichever-Novikov algebras are not Noetherian

DOI10.1007/s10468-022-10168-9arXiv2112.08828OpenAlexW4296449162MaRDI QIDQ6070290

Lucas Buzaglo

Publication date: 20 November 2023

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.08828

zbMATH Keywords

Witt algebrauniversal enveloping algebraKrichever-Novikov algebranon-noetherian

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Lie algebras of vector fields and related (super) algebras (17B66) Infinite-dimensional Lie (super)algebras (17B65) Derivations, actions of Lie algebras (16W25) Universal enveloping algebras of Lie algebras (16S30) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (1)

Derivations, extensions, and rigidity of subalgebras of the Witt algebra

Cites Work

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• The universal enveloping algebra of the Witt algebra is not Noetherian
• Krichever-Novikov type algebras. Theory and applications
• Generalised Witt algebras and idealizers
• Ring theoretic aspects of the virasoro algebra
• The Poisson spectrum of the symmetric algebra of the Virasoro algebra

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