Home /  Triangular and tropical properties of dual canonical bases of quantum cluster algebras

Seminar

Triangular and tropical properties of dual canonical bases of quantum cluster algebras November 20, 2012 (02:00 PM PST - 03:00 PM PST)
Parent Program: --
Location: SLMath: Eisenbud Auditorium
Speaker(s) Fan Qin (Université de Strasbourg)
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Assume that a quantum cluster algebra admits a monoidal categorification by quantum affine algebras or quantum unipotent subgroups of simply-laced type.
We show that, for any chosen cluster, the dual canonical basis is a triangular basis with respect to certain linearly independent set, and the basis elements are naturally parametrized by the extended g-vectors.

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