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Ma, Zhongqi

Representations of the braid group obtained from quantum sl(3) enveloping algebra. (English) Zbl 0712.17015

J. Math. Phys. 31, No. 3, 550-556 (1990).
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

Cited in 4 Documents

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 polynomial
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References:

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