Finite-dimensional irreducible U_q(\mathfraksl₂)-modules from the equitable point of view

2013/03/25 by Paul Terwilliger, Terwilliger, Paul · 1 citation
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.1303.6134

openalex publication_date 2013/03/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider the quantum algebra U_q(\mathfraksl₂) with q not a root of unity. We describe the finite-dimensional irreducible U_q(\mathfraksl₂)-modules from the point of view of the equitable presentation.

Citations

• Theq-Tetrahedron Algebra and Its Finite Dimensional Irreducible Modules

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• Evaluation modules for the q-tetrahedron algebra

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