Let Lσ(g) be the
twisted loop algebra of a simple complex Lie algebra g with nontrivial diagram
automorphism σ. Although the category ℱσ of finite-dimensional representations
of Lσ(g) is not semisimple, it can be written as a sum of indecomposable
subcategories (the blocks of the category). To describe these summands,
we introduce the twisted spectral characters for Lσ(g). These are certain
equivalence classes of the spectral characters defined by Chari and Moura for an
untwisted loop algebra L(g), which were used to provide a description of
the blocks of finite-dimensional representations of L(g). Here we adapt this
decomposition to parametrize and describe the blocks of ℱσ via the twisted spectral
characters.
