Wednesday, June 25, 2014 — 2:30 PM EDT

Susan Sierra, University of Edinburgh

“The universal enveloping algebra of the Virasoro algebra is not noetherian.”

The Virasoro algebra is an infinite-dimensional Lie algebra of great importance in physics and representation theory. We answer a long-standing question and show that its universal enveloping algebra is not noetherian. We do so by exhibiting a homomorphism from the positive part of the enveloping algebra to a polynomial ring over the Weyl algebra, and analysing the image.

This is joint work with Chelsea Walton.

Location 
MC - Mathematics & Computer Building
5046
200 University Avenue West

Waterloo, ON N2L 3G1
Canada

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