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The Harish-Chandra theorem for the quantum algebrau q (sl (3))


A basis of a quantum universal enveloping algebraU is constructed; the following theorem is proved with the help of this basis: For any nonzero element Μ ∃U, there exists a finite-dimensional representation π such thatπ(u) ≠ 0.

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45 No. 3, pp. 436–439, March, 1993.

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Guzner, B.Z. The Harish-Chandra theorem for the quantum algebrau q (sl (3)). Ukr Math J 45, 466–470 (1993).

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  • Nonzero Element