Abstract
We propose an integrable system of q-difference equations satisfied by the universal characters and regard it as a q-analogue of the UC hierarchy; see [10]. Via a similarity reduction of this integrable system, rational solutions of the q-Painlevé systems are constructed in terms of the universal characters.
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Tsuda, T.: Universal characters, integrable chains and the Painlevé equations. Adv. Math., in press
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Communicated by L. Takhtajan
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Tsuda, T. Universal Characters and q-Painlevé Systems. Commun. Math. Phys. 260, 59–73 (2005). https://doi.org/10.1007/s00220-005-1403-9
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DOI: https://doi.org/10.1007/s00220-005-1403-9