On the affine Weyl group, τ-functions and special solutions of discrete Painlevé equations
نویسنده
چکیده
In this lecture note, I show how to derive discrete Painlevé equations from birational representations of affine Weyl groups and a method constructing special solutions to discrete Painlevé equations by using τ functions. This lecture note is based on the paper [21] and the lecture in the topic “Difference algebra and algebro-geometric methods” at the ASIDE meeting [20]. This work has been partially supported by JSPS Grant-in-Aid for Scientific Research No. 22·4366, an Australian Laureate Fellowship #FL120100094 and grant # DP130100967 from the Australian Research Council.
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