Abstract
A Braid group representation and the corresponding q-exterior algebra associated with the 10-dimensional representation of SU(5) are calculated. The method involves consideration of weight conservation, Casimir eigenvalues and the property of Markov trace for Jimbo-Reshetikhin-type solutions. Applying a recently developed procedure to this spectral-independent solution to the Yang-Baxter equation, the trigonometric spectral-dependent solution is found.
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