Simple tensor products

• 成果类型: Article
• 署名作者: Hernandez, David
• 署名单位: Centre National de la Recherche Scientifique (CNRS); Institut Polytechnique de Paris; Ecole Polytechnique; Universite PSL; Ecole Normale Superieure (ENS)
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-010-0256-9
• 发表日期: 2010
• 页码: 649-675
• 关键词: q-characters; quantum; REPRESENTATIONS; MODULES

摘要

Let F be the category of finite-dimensional representations of an arbitrary quantum affine algebra. We prove that a tensor product S (1) aSua <...a <...a <...aSu S (N) of simple objects of F is simple if and only S (i) aSu S (j) is simple for any i < j.