Polynomial \(G_L\), Yang-Baxter Equation and Quantum Group \(SL(2)_q\)
DOI:
https://doi.org/10.26713/cma.v7i1.382Keywords:
Polynomial \(G_L\), Jones polynomial, Regular isotopy, Braid, Abstract tensor, Vacuum-vacuum expectation, Quantum group \(SL(2)_q\)Abstract
In this paper, we define the polynomial \(G_L\) by way of the braids. We construct the abstract tensor model of the polynomial \(G_L\) and we obtain the new solutions relevant with the state model of the polynomial \(G_L\) to the Yang-Baxter equation. We also construct the vacuum-vacuum expectation model of the polynomial \(G_L\) and we show that the studies performed using the Kaufmann bracket on the quantum group \(SL(2)_q\) with \(q = A^2\) are valid for the state model of the polynomial \(G_L\) without $q=A^2$.Downloads
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