Elias, BenStephens, Andrew2019-04-302019-04-302019-04-30https://hdl.handle.net/1794/24518We 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.en-USAll Rights Reserved.CategorificationGroupQuantumRootUnityA Categorification of the Positive Half of Quantum sl3 at a Prime Root of UnityElectronic Thesis or Dissertation