Affine Weyl group symmetry of the Garnier system
Suzuki, Takao
arXiv, 0312068 / Harvested from arXiv
Text on arXiv
We show that the Garnier system in n-variables has affine Weyl group symmetry of type $B^{(1)}_{n+3}$. We also formulate the $\tau$ functions for the Garnier system (or the Schlesinger system of rank 2) on the root lattice $Q(C_{n+3})$ and show that they satisfy Toda equations, Hirota-Miwa equations and bilinear differential equations.
Publié le : 2003-12-25
Classification:  Mathematical Physics,  Mathematics - Representation Theory 
@article{0312068,
     author = {Suzuki, Takao},
     title = {Affine Weyl group symmetry of the Garnier system},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0312068}
}

Suzuki, Takao. Affine Weyl group symmetry of the Garnier system. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0312068/