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arxiv: 1004.1687 · v1 · submitted 2010-04-10 · 🧮 math-ph · math.AG· math.MP· math.RT

Lax formalism for q-Painleve equations with affine Weyl group symmetry of type E⁽¹⁾_n

classification 🧮 math-ph math.AGmath.MPmath.RT
keywords affinegroupsymmetrytypeweylcasesdegenerationequation
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An explicit form of the Lax pair for the q-difference Painleve equation with affine Weyl group symmetry of type E^{(1)}_8 is obtained. Its degeneration to E^{(1)}_7, E^{(1)}_6 and D^{(1)}_5 cases are also given.

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