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arXiv:2108.03558 [math.RT]AbstractReferencesReviewsResources

Acyclic quantum cluster algebras via derived Hall algebras

Xueqing Chen, Ming Ding, Haicheng Zhang

Published 2021-08-08Version 1

Let $Q$ be a finite acyclic valued quiver. We give the high-dimensional cluster multiplication formulas in the quantum cluster algebra of $Q$ with arbitrary coefficients, by applying certain quotients of derived Hall subalgebras of $Q$.

Comments: 32 pages
Categories: math.RT, math.QA, math.RA
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