On multiplicity problems for finite-dimensional representations of hyper loop algebras
Representation Theory
2012-01-04 v2 Algebraic Geometry
Quantum Algebra
Abstract
Given a hyper loop algebra over a non-algebraically closed field, we address multiplicity problems in the underlying abelian tensor category of finite-dimensional representations. Namely, we give formulas for the l-characters of the simple objects, the Jordan-Holder multiplicities of the Weyl modules, and the Clebsch-Gordan coefficients.
Cite
@article{arxiv.0802.3413,
title = {On multiplicity problems for finite-dimensional representations of hyper loop algebras},
author = {Dijana Jakelic and Adriano Moura},
journal= {arXiv preprint arXiv:0802.3413},
year = {2012}
}
Comments
final version, to appear in "Contemporary Mathematics"