A survey on enveloping algebras of infinite-dimensional Lie algebras

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• Lucas Buzaglo, University of Edinburgh
• Friday 11 November 2022, 15:00-16:00
• CMS MR13.

If you have a question about this talk, please contact Tom Adams.

Universal enveloping algebras of finite-dimensional L=e algebras are fundamental examples of well-behaved noncommutative rings. On the other hand, enveloping algebras of infinite-dimensional Lie algebras remain mysterious. For example, it is not known whether it is possible for such an enveloping algebra to be (left or right) noetherian, a question that has been open since 1974. In this talk, I will give an overview of the recent progress in the study of these enveloping algebras, with a focus on questions of noetherianity.

This talk is part of the Junior Algebra and Number Theory seminar series.

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