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Recursive formulas for the Kronecker quantum cluster algebra with principal coefficients (2111.00182v2)
Published 30 Oct 2021 in math.QA, math.RA, and math.RT
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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