An Analog of Leclerc's Conjecture for Bases of Quantum Cluster Algebras

Dual canonical bases are expected to satisfy a certain (double) triangularity property by Leclerc's conjecture. We propose an analogous conjecture for common triangular bases of quantum cluster algebras. We show that a weaker form of the analogous conjecture is true. Our result applies to the d...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2020
Main Author: Qin, Fan
Format: Article
Language:English
Published: Інститут математики НАН України 2020
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/211097
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:An Analog of Leclerc's Conjecture for Bases of Quantum Cluster Algebras. Fan Qin. SIGMA 16 (2020), 122, 22 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine