A quantum analogue of generic bases for affine cluster algebras

Details A quantum analogue of generic bases for affine cluster algebras A quantum analogue of generic bases for affine cluster algebras

2011-05-12

arxiv.org/abs/1105.2421v1

Mathematics

Representation Theory

The paper supersedes arXiv:1006.3928

Scientific paper

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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