Spectral characters of finite-dimensional representations of affine algebras (Q1880699)

We introduce the notion of a spectral character for finite-dimensional representations of affine algebras. These can be viewed as a suitable \(q=1\) limit of the elliptic characters defined by \textit{P. Etingof} and \textit{A. Moura} [Represent. Theory 7, 346--373 (2003; Zbl 1066.17005)] for quantum affine algebras. We show that these characters determine blocks of the category of finite-dimensional modules for affine algebras. To do this we use the Weyl modules defined by Chari and Pressley and some indecomposable reducible quotient of the Weyl modules.