Funkcialaj Ekvacioj
Print ISSN : 0532-8721
Affine Weyl Group Symmetry of the Garnier System
Takao Suzuki
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2005 年 48 巻 2 号 p. 203-230

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In this paper, we show that the Garnier system in n-variables has affine Weyl group symmetry of type B(1)n+3. We also formulate the τ-functions for the Garnier system (or the Schlesinger system of rank 2) on the root lattice Q(Cn+3) and show that they satisfy Toda equations, Hirota-Miwa equations and bilinear differential equations.
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© 2005 by the Division of Functional Equations, The Mathematical Society of Japan
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