Home /  COMA/NAG Joint Graduate Student Seminar: "A classification of subalgebras of the one-sided Witt algebra"

Seminar

COMA/NAG Joint Graduate Student Seminar: "A classification of subalgebras of the one-sided Witt algebra" March 18, 2024 (03:30 PM PDT - 04:30 PM PDT)
Parent Program:
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Speaker(s) Lucas Buzaglo (University of Edinburgh)
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Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
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A classification of subalgebras of the one-sided Witt algebra

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We give a classification of Lie subalgebras of the one-sided Witt algebra (the Lie algebra of vector fields on the affine line). As applications of the classification, we prove that universal enveloping algebras of these infinite-dimensional subalgebras are not noetherian, and one case of a conjecture of Kaiming Zhao with links to the Jacobian conjecture.

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A classification of subalgebras of the one-sided Witt algebra