Finite-Dimensional Representations of Hyper Loop Algebras Over Non-Algebraically Closed Fields
Representation Theory
2012-01-04 v4 Algebraic Geometry
Abstract
We study finite-dimensional representations of hyper loop algebras over non-algebraically closed fields. The main results concern the classification of the irreducible representations, the construction of the Weyl modules, base change, tensor products of irreducible and Weyl modules, and the block decomposition of the underlying abelian category. Several results are interestingly related to the study of irreducible representations of polynomial algebras and Galois theory.
Keywords
Cite
@article{arxiv.0711.0795,
title = {Finite-Dimensional Representations of Hyper Loop Algebras Over Non-Algebraically Closed Fields},
author = {Dijana Jakelic and Adriano Moura},
journal= {arXiv preprint arXiv:0711.0795},
year = {2012}
}
Comments
final version, to appear in "Algebras and Representation Theory"