Browsing Theses & Dissertations by Author "Elias, Ben"

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  • 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.
  • Hothem, Daniel (University of Oregon, 2021-09-13)
    In this paper, we extend Manin and Schechtman's higher Bruhat orders for the symmetric group to higher Bruhat orders for non-longest words w in the symmetric group. We prove that the higher Bruhat orders of non-longest ...

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