Integrable and Weyl modules for quantum affine sl₂

2000/07/20 by Vyjayanthi Chari, Chari, Vyjayanthi, Andrew Pressley +1
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #math.QA

paper · pdf · doi:10.48550/arxiv.math/0007123

To appear in the Proceedings of the LMS symposium on Quantum Groups, Durham, England

arxiv created 2000/07/20 · openalex publication_date 2000/07/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the universal integrable modules W_q(m) of level zero for quantum affine sl₂ and a family of maximal finite--dimensional quotients of these modules. We show that these all have dimension 2^m. Using this, we are able to realize W_q(m) as the space of invariants of a reprsentation of the Hecke algebra H_m. We also give a conjecture in the general case.

Citations

• Weyl Modules for Classical and Quantum Affine algebras

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