English

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

Quantum Algebra 2023-04-24 v1 High Energy Physics - Theory

Abstract

We propose an algebraic expression for Uq(sl3)U_q(\mathfrak{sl}_3) quantum 3j3j 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 RR-matrix elements for any bi-partite vertex model whose edges carry states of the symmetric representations.

Keywords

Cite

@article{arxiv.2304.01738,
  title  = {Quantum $3j$-symbols for $U_q(\mathfrak{sl}_3)$},
  author = {Ayaz Ahmed and P. Ramadevi and Shoaib Akhtar},
  journal= {arXiv preprint arXiv:2304.01738},
  year   = {2023}
}
R2 v1 2026-06-28T09:48:55.169Z