dorsal/arxiv
View SchemaDual quasitriangular structures related to the Temperley-Lieb algebra
| Authors | P. Akueson, D. Gurevich |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9703041 |
| URL | https://arxiv.org/abs/q-alg/9703041 |
Abstract
We consider nonquasiclassical solutions to the quantum Yang-Baxter equation and the corresponding quantum cogroups $\Fun(SL(S))$ constructed earlier by one of the authors . We give a criterion of the existence of a dual quasitriangular structure in the algebra $\Fun(SL(S))$ and describe a large class of such objects related to the Temperley-Lieb algebra satisfying this criterion. We show also that this dual quasitriangular structure is in some sense nondegenerate.
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"abstract": "We consider nonquasiclassical solutions to the quantum Yang-Baxter equation\nand the corresponding quantum cogroups $\\Fun(SL(S))$ constructed earlier by one\nof the authors . We give a criterion of the existence of a dual quasitriangular\nstructure in the algebra $\\Fun(SL(S))$ and describe a large class of such\nobjects related to the Temperley-Lieb algebra satisfying this criterion. We\nshow also that this dual quasitriangular structure is in some sense\nnondegenerate.",
"arxiv_id": "q-alg/9703041",
"authors": [
"P. Akueson",
"D. Gurevich"
],
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"q-alg",
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"title": "Dual quasitriangular structures related to the Temperley-Lieb algebra",
"url": "https://arxiv.org/abs/q-alg/9703041"
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