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Cluster algebras and their bases (2108.09279v2)
Published 20 Aug 2021 in math.RT, math.QA, and math.RA
Abstract: We give a brief introduction to (upper) cluster algebras and their quantization using examples. Then we present several important families of bases for these algebras using topological models. We also discuss tropical properties of these bases and their relation to representation theory. This article is an extended version of the talk given at the 19th International Conference on Representations of Algebras (ICRA 2020).
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