摘要翻译:
我们将描述具有E6、E7和E8型仿射Weyl对称群的差分Painleve方程的自然Lax对,表明它们确实是某些Fuchsian微分方程组的对称。
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英文标题:
《Quivers and difference Painleve equations》
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作者:
Philip Boalch
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最新提交年份:
2007
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分类信息:
一级分类:Mathematics 数学
二级分类:Algebraic Geometry 代数几何
分类描述:Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇,叠,束,格式,模空间,复几何,量子上同调
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一级分类:Physics 物理学
二级分类:Exactly Solvable and Integrable Systems 精确可解可积系统
分类描述:Exactly solvable systems, integrable PDEs, integrable ODEs, Painleve analysis, integrable discrete maps, solvable lattice models, integrable quantum systems
精确可解系统,可积偏微分方程,可积偏微分方程,Painleve分析,可积离散映射,可解格模型,可积量子系统
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英文摘要:
We will describe natural `Lax pairs' for the difference Painleve equations with affine Weyl symmetry groups of types E6, E7 and E8, showing that they do indeed arise as symmetries of certain Fuchsian systems of differential equations.
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PDF链接:
https://arxiv.org/pdf/0706.2634