Recursive formulas for the Kronecker quantum cluster algebra with principal coefficients
نویسندگان
چکیده
We use the quantum version of Chebyshev polynomials to explicitly construct recursive formulas for Kronecker cluster algebra with principal coefficients. As a byproduct, we obtain two bar-invariant positive ℤℙ-bases one being atomic basis.
منابع مشابه
Bases of the Quantum Cluster Algebra of the Kronecker Quiver
We construct bar-invariant Z[q 1 2 ]−bases of the quantum cluster algebra of the Kronecker quiver which are quantum analogues of the canonical basis, semicanonical basis and dual semicanonical basis of the cluster algebra of the Kronecker quiver in the sense of [14],[4] and [11] respectively. As a byproduct, we prove the positivity of the elements in these bases.
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ژورنال
عنوان ژورنال: Science China-mathematics
سال: 2023
ISSN: ['1674-7283', '1869-1862']
DOI: https://doi.org/10.1007/s11425-021-2038-4