Special Session 44: The theory of cluster algebras and its applications
On the acyclic quantum cluster algebras with principle coefficients
Xueqing Chen
University of Wisconsin-Whitewater
USA
Co-Author(s):    Ming Ding, Junyuan Huang and Fan Xu
Abstract:
We study a new lower bound quantum cluster algebra which is generated by the initial quantum cluster variables and the quantum projective cluster variables of an acyclic quantum cluster algebra with principle coefficients. We show that the lower bound quantum cluster algebra coincides with the corresponding acyclic quantum cluster algebra. Moreover, the dual PBW basis of this algebra is obtained. This is a joint work with M. Ding, J. Huang and F. Xu.
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