$R$ Matrix for $U_{q}E_{7}$
Jin Bai-Qi, Ma Zhong-Qi (Institute of High Energy Physics, Beijing,, P. R. of China)
TL;DR
This paper computes the quantum Clebsch-Gordan coefficients and provides an explicit form of the R-matrix for the minimal representation of the quantum algebra U_qE7, advancing understanding of its representation theory.
Contribution
It presents the first explicit calculation of the R-matrix and Clebsch-Gordan coefficients for U_qE7's minimal representation, filling a gap in quantum algebra literature.
Findings
Explicit R-matrix form for U_qE7 minimal representation
Quantum Clebsch-Gordan coefficients calculated
Enhanced understanding of quantum E7 representations
Abstract
The quantum Clebsch-Gordan coefficients and the explicit form of the matrix related with the minimal representation of the quantum enveloping algebra are calculated in this paper.
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Taxonomy
TopicsMatrix Theory and Algorithms