Algebra Seminar: Ideals in enveloping algebras of affine Kac-Moody algebras

Abstract: In the first half of the talk , I will start with background on affine Lie algebras and GK dimension. In the second half of the talk, I will discuss about the structure of ideals in enveloping algebras of affine Kac-Moody algebras and explain a proof of the result which states that if U(L) is the enveloping algebra of the affine Lie algebra L and "c" is the central element of L, then any proper quotient of U(L)/(c) by two sided ideals has finite GK dimension and also talk about the applications of the result. This talk is based on joint work with Susan J. Sierra.

This is a seminar in our algebra seminar series.