Manchester Geometry Seminar 2002/2003

The talk is devoted to the theory and applications of a special class of infinite dimensional Lie algebras that are finite dimensional modules over a ring of polynomials. We call such Lie algebras polynomial Lie algebras. They naturally appear in integrable systems theory, in singularity theory, and in the theory of Hopf algebra doubles, which includes quantum groups theory and the theory of cohomological operations in cobordisms.

We will discuss the results of the paper: V. M. Buchstaber and D. V. Leikin, Polynomial Lie algebras, Functional Analysis and its Applications, v.36, N4, 2002, pp.18-34.