On multiplicity problems for finite-dimensional representations of hyper loop algebras

Details On multiplicity problems for finite-dimensional representations of hyper loop algebras On multiplicity problems for finite-dimensional representations of hyper loop algebras

2008-02-23

arxiv.org/abs/0802.3413v2

Contemp. Math. 483 (2009), 147-159

Mathematics

Representation Theory

final version, to appear in "Contemporary Mathematics"

Scientific paper

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.

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