Representations of the braid group obtained from quantum sl(3) enveloping algebra. (English) Zbl 0712.17015
Author’s summary: The quantum Clebsch-Gordan coefficients for the coproduct \(6\times 6\) of the quantum sl(3) enveloping algebra are computed. Based on the representation 6, the representation of the braid group and the corresponding link polynomial are obtained. The link polynomials based on the representations of the quantum sl(3) enveloping algebra with a one-row Young tableau are discussed.
Reviewer: Li Wanglai
MSC:
17B37 | Quantum groups (quantized enveloping algebras) and related deformations |
20F36 | Braid groups; Artin groups |
57Q45 | Knots and links in high dimensions (PL-topology) (MSC2010) |
81R50 | Quantum groups and related algebraic methods applied to problems in quantum theory |
Keywords:
quantum enveloping algebra; quantum Clebsch-Gordan coefficients; braid group; link polynomialReferences:
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