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Simple tensor products

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Abstract

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

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Authors and Affiliations

  1. CNRS, École Polytechnique and École Normale Supérieure, 45, rue d’Ulm, 75005, Paris, France

    David Hernandez

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  1. David Hernandez
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Correspondence to David Hernandez.

Additional information

Supported partially by ANR through Project “Géométrie et Structures Algébriques Quantiques”.

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Hernandez, D. Simple tensor products. Invent. math. 181, 649–675 (2010). https://doi.org/10.1007/s00222-010-0256-9

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  • DOI: https://doi.org/10.1007/s00222-010-0256-9

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