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arXiv · 2304.01738

Quantum $3j$-symbols for $U_q(\mathfrak{sl}_3)$

Ayaz Ahmed·P. Ramadevi·Shoaib Akhtar
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Abstract

We propose an algebraic expression for $U_q(\mathfrak{sl}_3)$ 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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Ayaz Ahmed, P. Ramadevi, Shoaib Akhtar. 2023-04-04. Quantum $3j$-symbols for $U_q(\mathfrak{sl}_3)$. https://arxiv.org/abs/2304.01738

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