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

Autor:	Jakelic, Dijana, Moura, Adriano
Rok vydání:	2008
Předmět:	Mathematics - Representation Theory Mathematics - Algebraic Geometry Mathematics - Quantum Algebra 17B65 17B10 20G42
Zdroj:	Contemp. Math. 483 (2009), 147-159
Druh dokumentu:	Working Paper
Popis:	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. Comment: final version, to appear in "Contemporary Mathematics"
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0802.3413 Zobrazit plný text záznamu View this record from Arxiv