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arxiv: 1105.2421 · v1 · pith:DT4IG542new · submitted 2011-05-12 · 🧮 math.RT · math.QA

A quantum analogue of generic bases for affine cluster algebras

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keywords basesaffinealgebrasclustergenericfinitequantumanalogue
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We construct quantized versions of generic bases in quantum cluster algebras of finite and affine types. Under the specialization of $q$ and coefficients to 1, these bases are generic bases of finite and affine cluster algebras.

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