Tensor Products of Kirillov–Reshetikhin Modules and Fusion Products

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 22 Aug 2016Embargo end date: 01 Jan 2016 English Publisher:Oxford University Press (OUP)Journal:International Mathematics Research Notices (issn: 1073-7928, eissn: 1687-0247,

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Authors: Naoi, Katsuyuki;

doi: 10.1093/imrn/rnw183 , 10.48550/arxiv.1604.02577

arXiv: 1604.02577

Tensor Products of Kirillov–Reshetikhin Modules and Fusion Products

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Abstract

We study the classical limit of a tensor product of Kirillov-Reshetikhin modules over a quantum loop algebra, and show that it is realized from the classical limits of the tensor factors using the notion of fusion products. In the process of the proof, we also give defining relations of the fusion product of the (graded) classical limits of Kirillov-Reshetikhin modules.

32 pages, corrected typos

Related Organizations

Tokyo University of Agriculture and Technology
Japan

Keywords

Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), 17B10, 20G42, Representation Theory (math.RT), Mathematics - Representation Theory

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