Browsing Mathematics Theses and Dissertations by Subject "Algebra"

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  • Hathaway, Jay (University of Oregon, 2024-03-25)
    Using the combinatorial description of the standard Gaitsgory centralobject of the (extended, graded) affine type A Hecke category due to Elias, we show the existence of and explicitly describe the unique endomorphism that ...
  • Steinberg, David (University of Oregon, 2017-05-01)
    Khovanov-Lauda-Rouquier algebras, or KLR algebras, are a family of algebras known to categorify the upper half of the quantized enveloping algebra of a given Lie algebra. In finite type, these algebras come with a family ...
  • Weinschelbaum, Ilan (University of Oregon, 2022-10-04)
    In this dissertation we examine generalized Schur algebras, as defined by Kleshchev and Muth. Given a quasi-hereditary superalgebra $A$, Kleshchev and Muth proved that for $n \geq d$, the generalized Schur algebra $T^A ...

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