dorsal/arxiv
View SchemaSolutions of the functional tetrahedron equation connected with the local Yang -- Baxter equation for the ferro-electric
| Authors | S. M. Sergeev |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9709006 |
| URL | https://arxiv.org/abs/solv-int/9709006 |
Abstract
Local (or modified) Yang -- Baxter equation (LYBE) gives the functional map from the parameters of the weights in the left hand side to the parameters of the correspondent weights in the right hand side of LYBE. Such maps solve the functional tetrahedron equation. In this paper all the maps associated with LYBE of the ferro-electric type with single parameter in each weight matrix are classified.
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"date_created": "2026-03-02T18:02:50.887000Z",
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"abstract": "Local (or modified) Yang -- Baxter equation (LYBE) gives the functional map\nfrom the parameters of the weights in the left hand side to the parameters of\nthe correspondent weights in the right hand side of LYBE. Such maps solve the\nfunctional tetrahedron equation. In this paper all the maps associated with\nLYBE of the ferro-electric type with single parameter in each weight matrix are\nclassified.",
"arxiv_id": "solv-int/9709006",
"authors": [
"S. M. Sergeev"
],
"categories": [
"solv-int",
"nlin.SI"
],
"title": "Solutions of the functional tetrahedron equation connected with the local Yang -- Baxter equation for the ferro-electric",
"url": "https://arxiv.org/abs/solv-int/9709006"
},
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