Once More about Spectral-Dependent Quantum $R$-Matrix for $U_q(A_2)$

dc.creatorBracken, Anthony J.
dc.creatorGould, Mark D.
dc.creatorZhang, Yao-Zhong
dc.date1993-08-12
dc.date1993-08-16
dc.date.accessioned2026-07-07T09:01:19Z
dc.date.available2026-07-07T09:01:19Z
dc.descriptionThe recently obtained results in \cite{ZG2} are used to compute the explicitly spectral-dependent $R$-matrix (or the intertwiners) on $V_{(6)}(x)\otimes V_{(6)}(y)$ and $V_{(3)}(x)\otimes V_{(6)}(y)$, where $V_{(6)}$ and $V_{(3)}$ are the 6-dimensional and fundamental representations of $U_q(A_2)$, respectively. It appears that the $R$-matrix on $V_{(3)}(x)\otimes V_{(6)}(y)$ depends on $q$ in the different way from what one might usually think: $q$ occurs in the $R$-matrix in fractional powers. It seems to be the first example in literatures of $R$-matrix with the new feature.
dc.description10 pages (The order of authors is changed and some typos corrected)
dc.identifierhttps://arxiv.org/abs/hep-th/9308056
dc.identifierhttp://arxiv.org/abs/hep-th/9308056
dc.identifierBull. Austral. Math. Soc. 51 (1995) 177
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/148277
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Algebra
dc.titleOnce More about Spectral-Dependent Quantum $R$-Matrix for $U_q(A_2)$
dc.typetext

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