Browsing Mathematics Theses and Dissertations by Subject "Quantum"

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A Categorification of the Positive Half of Quantum sl3 at a Prime Root of Unity

Stephens, Andrew (University of Oregon, 2019-04-30)

We place a differential on $\dot\UC_{\mathfrak{sl}_3}^+$ and show that $\dot\UC_{\mathfrak{sl}_3}^+$ is Fc-filtered. This gives a categorification of the positive half of quantum $\sl_3$ at a prime root of unity.
Quantum Cluster Characters

Rupel, Dylan (University of Oregon, 2012)

We de ne the quantum cluster character assigning an element of a quantum torus to each representation of a valued quiver (Q; d) and investigate its relationship to external and internal mutations of a quantum cluster ...