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arXiv · 2111.00182

Recursive formulas for the Kronecker quantum cluster algebra with principal coefficients

Ming Ding·Fan Xu·Xueqing Chen
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Abstract

We use the quantum version of Chebyshev polynomials to explicitly construct the recursive formulas for the Kronecker quantum cluster algebra with principal coefficients. As a byproduct, we obtain two bar-invariant positive $\mathbb{ZP}$-bases with one being the atomic basis.

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Ming Ding, Fan Xu, Xueqing Chen. 2021-10-30. Recursive formulas for the Kronecker quantum cluster algebra with principal coefficients. https://arxiv.org/abs/2111.00182

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