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The Harish-Chandra theorem for the quantum algebra \(U_ q(sl(3))\) - MaRDI portal

The Harish-Chandra theorem for the quantum algebra \(U_ q(sl(3))\) (Q1332078)

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scientific article; zbMATH DE number 635738
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The Harish-Chandra theorem for the quantum algebra \(U_ q(sl(3))\)
scientific article; zbMATH DE number 635738

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    The Harish-Chandra theorem for the quantum algebra \(U_ q(sl(3))\) (English)
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    26 September 1994
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    A basis of the quantum universal enveloping algebra \(U_ q (sl(3))\) is constructed to prove the Harish-Chandra theorem: For any nonzero element \(u\in U_ q (sl(3))\), there exists a finite-dimensional representation \(\pi\) such that \(\pi(u)=0\).
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    quantum algebra
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    basis
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    Harish-Chandra theorem
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    finite-dimensional representation
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