The Vertex-Face Correspondence and the Elliptic 6j-symbols
Konno, Hitoshi
arXiv, 0503725 / Harvested from arXiv
Text on arXiv
A new formula connecting the elliptic $6j$-symbols and the fusion of the vertex-face intertwining vectors is given. This is based on the identification of the $k$ fusion intertwining vectors with the change of base matrix elements from Sklyanin's standard base to Rosengren's natural base in the space of even theta functions of order $2k$. The new formula allows us to derive various properties of the elliptic $6j$-symbols, such as the addition formula, the biorthogonality property, the fusion formula and the Yang-Baxter relation. We also discuss a connection with the Sklyanin algebra based on the factorised formula for the $L$-operator.
Publié le : 2005-03-30
Classification:  Mathematics - Quantum Algebra,  Mathematical Physics 
@article{0503725,
     author = {Konno, Hitoshi},
     title = {The Vertex-Face Correspondence and the Elliptic 6j-symbols},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0503725}
}

Konno, Hitoshi. The Vertex-Face Correspondence and the Elliptic 6j-symbols. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0503725/