Artículos de revistas
On Some Families Of Modules For The Current Algebra
Registro en:
Algebras And Representation Theory. Springer, v. 20, p. 197 - 208, 2017.
1386-923X
1572-9079
WOS:000394266700008
10.1007/s10468-016-9637-0
Autor
Bennet
Matthew; Jenkins
Rollo
Institución
Resumen
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. 20 1 197 208