2024-03-29T02:12:04Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/690672022-11-17T02:08:08Zhdl_2115_45007hdl_2115_116Vertex-face correspondence in elliptic solutions of the Yang-Baxter equationShibukawa, Y.410In this review, we introduce an elliptic R-operator, which is a solution of the YangÂBaxter equation on some function space, and show the vertex-face correspondence for the eliiptic R-operator. As a result, the factorized L-operators for the elliptic R-operator are constructed. Moreover we explain that Belavin's R-matrix, the vertex-face correspondence and the factorized L-operators for it are produced from the elliptic R-operator.Department of Mathematics, Hokkaido UniversityDepartmental Bulletin Paperapplication/pdfhttp://hdl.handle.net/2115/69067info:doi/10.14943/83463https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/69067/1/pre316.pdfHokkaido University Preprint Series in Mathematics316181995-11-01engpublisher