The orbit method for the Virasoro algebra

Abstract: The orbit method is a fundamental tool to study a finite dimensional solvable Lie algebra g. It relates the annihilators of irreducible representation of \g to the coadjoint orbits of g* . In my talk, I will extend this story to the Witt and Virasoro algebra infinite dimensional Lie algebras which are important in physics and representation theory. I will construct an induced module from an element of Vir* and show that its annihilator is a primitive ideal. I will also construct an algebra homomorphism that allows one to relate the orbit method for Vir to that of a finite dimensional solvable Lie algebra.

quantum algebrarings and algebras

Audience: researchers in the topic

European Non-Associative Algebra Seminar