Drinfeld-Sokolov hierarchies of type A and fourth order Painleve systems

2009/04/22 by Kenta Fuji, Fuji, Kenta, Takao Suzuki +1 · 2 citations
Chemistry · Mathematics · #17B80 #34M55 #37K10 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Molecular spectroscopy and chirality #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.0904.3434

openalex publication_date 2009/04/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the Drinfeld-Sokolov hierarchies of type A_n⁽¹⁾ associated with the regular conjugacy classes of W(A_n). A class of fourth order Painleve systems is derived from them by similarity reductions.

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• Initial value space of the fourth order Painlevé system with A₅⁽¹⁾× A₁⁽¹⁾ symmetry
• A q-analogue of the Drinfeld-Sokolov hierarchy of type A and q-Painleve system

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