Fusion of Baxter's Elliptic $R$-matrix and the Vertex-Face Correspondence
Konno, Hitoshi
arXiv, 0503726 / Harvested from arXiv
Text on arXiv
The matrix elements of the $2\times 2$ fusion of Baxter's elliptic $R$-matrix, $R^{(2,2)}(u)$, are given explicitly. Based on a note by Jimbo, we give a formula which show that $R^{(2,2)}(u)$ is gauge equivalent to Fateev's $R$-matrix for the 21-vertex model. Then the crossing symmetry formula for $R^{(2,2)}(u)$ is derived. We also consider the fusion of the vertex-face correspondence relation and derive a crossing symmetry relation between the fusion of the intertwining vectors and their dual vectors.
Publié le : 2005-03-30
Classification:  Mathematics - Quantum Algebra,  Mathematical Physics 
@article{0503726,
     author = {Konno, Hitoshi},
     title = {Fusion of Baxter's Elliptic $R$-matrix and the Vertex-Face
  Correspondence},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0503726}
}

Konno, Hitoshi. Fusion of Baxter's Elliptic $R$-matrix and the Vertex-Face
  Correspondence. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0503726/