Quantum 3j-symbols for U_q(\mathfraksl₃)

2023/04/04 by Ahmed, Ayaz, Ramadevi, P., Akhtar, Shoaib
#FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.2304.01738

Abstract

We propose an algebraic expression for U_q(\mathfraksl₃) quantum 3j symbols (quantum Clebsch-Gordan coefficients) appearing in the decomposition of tensor product of symmetric representations. Our compact form will be useful to write the spectral parameter dependent R-matrix elements for any bi-partite vertex model whose edges carry states of the symmetric representations.

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