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arxiv: 1810.04359 · v1 · pith:PI6HNOMAnew · submitted 2018-10-10 · 🧮 math.RT · math.CO· math.QA· math.RA

Positivity for quantum cluster algebras from unpunctured orbifolds

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keywords quantumalgebrasclusterorbifoldspositivityunpuncturedalwaysapplication
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We give the quantum Laurent expansion formula for the quantum cluster algebras from unpunctured orbifolds with arbitrary coefficients and quantization. As an application, positivity for such class of quantum cluster algebras is given. For technical reasons, it will always be assumed that the weights of the orbifold points are 2.

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