Bases of the quantum cluster algebra of the Kronecker quiver.

DOI10.1007/s10114-011-0344-9zbMath1268.16018arXiv1004.2349OpenAlexW2050229061MaRDI QIDQ1757982

Ming Ding, Fan Xu

Publication date: 7 November 2012

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.2349

zbMATH Keywords

positivitycanonical basesquantum cluster algebrasKronecker quiver\(\mathbb Z[q^{\pm 1/2}\)-bases]

Mathematics Subject Classification ID

Representations of quivers and partially ordered sets (16G20) Ring-theoretic aspects of quantum groups (16T20) Cluster algebras (13F60)

Related Items

Bar-invariant bases of the quantum cluster algebra of type A 2 (2) ⋮ On homomorphisms from Ringel-Hall algebras to quantum cluster algebras. ⋮ A quantum analogue of generic bases for affine cluster algebras. ⋮ Recursive formulas for the Kronecker quantum cluster algebra with principal coefficients ⋮ Greedy bases in rank 2 quantum cluster algebras ⋮ Atomic bases of quantum cluster algebras of type \(\widetilde{A}_{2 n - 1 , 1} \) ⋮ Cluster multiplication theorem in the quantum cluster algebra of type \(A_2^{(2)}\) and the triangular basis ⋮ On quantum cluster algebras of finite type. ⋮ Compare triangular bases of acyclic quantum cluster algebras

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