Polynomial GL, Yang-Baxter Equation and Quantum Group SL(2)q

Authors

  • ć°smet Altıntaş Department of Mathematics, Faculty of Arts and Sciences, Sakarya University, Sakarya, 54187
  • Kemal Taskopru Department of Mathematics, Faculty of Arts and Sciences, Bilecik Seyh Edebali University, Bilecik, 11000

DOI:

https://doi.org/10.26713/cma.v7i1.382

Keywords:

Polynomial GL, Jones polynomial, Regular isotopy, Braid, Abstract tensor, Vacuum-vacuum expectation, Quantum group SL(2)q

Abstract

In this paper, we define the polynomial GL by way of the braids. We construct the abstract tensor model of the polynomial GL and we obtain the new solutions relevant with the state model of the polynomial GL to the Yang-Baxter equation. We also construct the vacuum-vacuum expectation model of the polynomial GL and we show that the studies performed using the Kaufmann bracket on the quantum group SL(2)q with q=A2 are valid for the state model of the polynomial GL without $q=A^2$.

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References

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Published

15-06-2016
CITATION

How to Cite

Altıntaş, ć°smet, & Taskopru, K. (2016). Polynomial GL, Yang-Baxter Equation and Quantum Group SL(2)q. Communications in Mathematics and Applications, 7(1), 55–72. https://doi.org/10.26713/cma.v7i1.382

Issue

Vol. 7 No. 1 (2016)

Section

Research Article

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