The block decomposition of finite-dimensional representations of twisted loop algebras

@article{Senesi2008TheBD,
  title={The block decomposition of finite-dimensional representations of twisted loop algebras},
  author={Prasad Senesi},
  journal={Pacific Journal of Mathematics},
  year={2008},
  volume={244},
  pages={335-357}
}
  • Prasad Senesi
  • Published 25 July 2008
  • Mathematics
  • Pacific Journal of Mathematics
Let L σ (g) be the twisted loop algebra of a simple complex Lie algebra g with nontrivial diagram automorphism σ. Although the category ℱ σ of finite-dimensional representations of L σ (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 L σ (g). These are certain equivalence classes of the spectral characters defined by Chari and Moura for an untwisted loop… 

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