dorsal/arxiv
View SchemaA cellular braid action and the Yang - Baxter equation
| Authors | Mirko Luedde |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9606015 |
| URL | https://arxiv.org/abs/q-alg/9606015 |
Abstract
Using a theorem of Schechtman - Varchenko on integral expressions for solutions of Knizhnik - Zamolodchikov equations we prove that the solutions of the Yang - Baxter equation associated to complex simple Lie algebras belong to the class of generalised Magnus representations of the braid group. Hence they can be obtained from the homology of a certain cell complex, or equivalently as group homology of iterated free groups.
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"abstract": "Using a theorem of Schechtman - Varchenko on integral expressions for\nsolutions of Knizhnik - Zamolodchikov equations we prove that the solutions of\nthe Yang - Baxter equation associated to complex simple Lie algebras belong to\nthe class of generalised Magnus representations of the braid group. Hence they\ncan be obtained from the homology of a certain cell complex, or equivalently as\ngroup homology of iterated free groups.",
"arxiv_id": "q-alg/9606015",
"authors": [
"Mirko Luedde"
],
"categories": [
"q-alg",
"math.QA"
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"title": "A cellular braid action and the Yang - Baxter equation",
"url": "https://arxiv.org/abs/q-alg/9606015"
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