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arxiv: 1303.6134 · v1 · pith:KTPZPAM5new · submitted 2013-03-25 · 🧮 math.QA

Finite-dimensional irreducible U_q(mathfrak{sl}₂)-modules from the equitable point of view

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keywords mathfrakequitablefinite-dimensionalirreduciblemodulespointviewalgebra
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We consider the quantum algebra $U_q(\mathfrak{sl}_2)$ with $q$ not a root of unity. We describe the finite-dimensional irreducible $U_q(\mathfrak{sl}_2)$-modules from the point of view of the equitable presentation.

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