On Ideals in the Enveloping Algebra of a Locally Simple Lie Algebra

DOI10.1093/IMRN/RNU085zbMath1338.17014arXiv1210.0466OpenAlexW2963026163WikidataQ115273253 ScholiaQ115273253MaRDI QIDQ5264504

I. B. Penkov, Alexey V. Petukhov

Publication date: 27 July 2015

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.0466

zbMATH Keywords

two-sided idealsenveloping algebra of an infinite-dimensional Lie algebraintegrable ideals

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Infinite-dimensional Lie (super)algebras (17B65) Poisson algebras (17B63)

Related Items (5)

Ideals of general linear Lie algebras of infinite-dimensional vector spaces ⋮ Annihilators of highest weight \(\mathfrak{sl}(\infty)\)-modules ⋮ Ideals in the enveloping algebra of the positive Witt algebra ⋮ Primitive Ideals of U ( 𝖘 𝖑 ( ∞ ) ) $${\mathrm {U}}(\mathfrak {sl}(\infty ))$$ and the Robinson–Schensted Algorithm at Infinity ⋮ Large annihilator category \(\mathcal{O}\) for \(\mathfrak{sl}(\infty), \mathfrak{o}(\infty), \mathfrak{sp}(\infty)\)

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