A basis theorem for Poisson algebras coming from infinite dimensional Lie algebras

Abstract: I will present joint work with Sue Sierra where we proved the ACC for radical Poisson ideals of the symmetric algebra of a Dicksonian Lie algebra. Part of the talk will be devoted to explaining what Dicksonian means (and give a variety of examples), and then discuss the method of proof of the basis theorem. We will observe why our result applies to graded-simple Lie algebras.

quantum algebrarings and algebras

Audience: researchers in the topic

European Non-Associative Algebra Seminar