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math.QA2014
Integrable clusters
Arkady Berenstein, Jacob Greenstein, David Kazhdan
The goal of this note is to study quantum clusters in which cluster variables (not coefficients) commute which each other. It turns out that this property is preserved by mutations…
math.QA2014★ 18 cited
Double canonical bases
Arkady Berenstein, Jacob Greenstein
We introduce a new class of bases for quantized universal enveloping algebras and other doubles attached to semisimple and Kac-Moody Lie algebras. These bases co…