dorsal/arxiv
View SchemaYang-Baxter systems, solutions and applications
| Authors | L. Hlavaty |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9711027 |
| URL | https://arxiv.org/abs/q-alg/9711027 |
Abstract
Two types of Yang-Baxter systems play roles in the theoretical physics -- constant and colour dependent. The constant systems are used mainly for construction of special Hopf algebra while the colour or spectral dependent for construction of quantum integrable models. Examples of both types together with their particular solutions are presented. The complete solution is known only for the constant system related to the quantized braided groups in the dimension two. The strategy for solution of the system related to quantum doubles is suggested and partial results are presented.
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"date_created": "2026-03-02T18:01:27.797000Z",
"date_modified": "2026-03-02T18:01:27.797000Z",
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"abstract": "Two types of Yang-Baxter systems play roles in the theoretical physics --\nconstant and colour dependent. The constant systems are used mainly for\nconstruction of special Hopf algebra while the colour or spectral dependent for\nconstruction of quantum integrable models. Examples of both types together with\ntheir particular solutions are presented. The complete solution is known only\nfor the constant system related to the quantized braided groups in the\ndimension two. The strategy for solution of the system related to quantum\ndoubles is suggested and partial results are presented.",
"arxiv_id": "q-alg/9711027",
"authors": [
"L. Hlavaty"
],
"categories": [
"q-alg",
"math.QA",
"nlin.SI",
"solv-int"
],
"title": "Yang-Baxter systems, solutions and applications",
"url": "https://arxiv.org/abs/q-alg/9711027"
},
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"type": "Model",
"variant": "snapshot-2026-03-01",
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