Algebra Seminar: William Goode, UNT | Department of Mathematics

Algebra Seminar: William Goode, UNT

Event Information
Event Location: 
GAB 461
Event Date: 
Friday, October 22, 2021 - 1:00pm

Title: I ain't afraid of no ghosts!

Abstract: I will define K, the Lie superalgebra of contact polynomial vector fields on the superline, and its maximal conformal subalgebra osp(1|2). I will also introduce and give a discussion on the tensor density modules of K and osp(1|2). The end of the talk will include a showcase of a square root of the Casimir operator of osp(1|2) and the so-called ghost center of the universal enveloping algebra of osp(1|2). We will conclude with the statement of a super-analog of Duflo's theorem for osp(1|2).