The \(q\)-Virasoro-like algebra. (English) Zbl 0891.17015
The author determines finite dimensional quotients of the \(q\)-Virasoro-like algebra when \(q\) is a root of unity, and classifies finite dimensional irreducible modules over the \(q\)-Virasoro-like algebra for any root \(q\) of unity.
Reviewer: Chiu Sen (Shanghai)
MSC:
| 17B37 | Quantum groups (quantized enveloping algebras) and related deformations |
| 17B68 | Virasoro and related algebras |
References:
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| [3] | Kac, V. G.; Raina, A. K., Bombay Lectures on Highest Weight Representations of Infinite Dimensional Lie Algebras (1987), World Scientific: World Scientific Singapore · Zbl 0668.17012 |
| [4] | Kirkman, E.; Procesi, C.; Small, L., A q-analog for the Virasoro algebra, Comm. Algebra, 22, 3755-3774 (1994) · Zbl 0813.17009 |
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| [6] | Zhang, H.; Zhao, K., Representations of the Virasoro-like Lie algebra and its \(q\), Comm. Algebra, 24, 4361-4372 (1996) · Zbl 0891.17016 |
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