Artículos de revistas
On Some Families Of Modules For The Current Algebra
Algebras And Representation Theory. Springer, v. 20, p. 197 - 208, 2017.
Given a finite-dimensional module V for a finite-dimensional, complex semi-simple Lie algebra , and a positive integer m, we construct a family of graded modules for the current algebra indexed by simple C -modules. These modules are free of finite rank for the ring of symmetric polynomials and so can be localized to give finite-dimensional graded -modules. We determine the graded characters of these modules and show that these graded characters admit a curious duality.201197208