Now showing items 1-3 of 3

    • Category O Representations of the Lie Superalgebra osp(3,2) 

      Masaros, America (2013-05-01)
      In his seminal 1977 paper [Kac77], V. G. Kac classified the finite dimensional simple Lie superalgebras over algebraically closed fields of characteristic zero. However, over thirty years later, the representation theory ...
    • Extensions of Enveloping Algebras Via Anti-cocommutative Elements 

      Yee, Daniel Owen (2017-08-01)
      We know that given a connected Hopf algebra H, the universal enveloping algebra U(P(H)) embeds in H as a Hopf subalgebra. Depending on P(H), we show that there may be another enveloping algebra (not as a Hopf subalgebra) ...
    • The Root Finite Condition on Groups and Its Application to Group Rings 

      Gollin, James (2016-05-01)
      A group $G$ is said to satisfy the root-finite condition if for every $g \in G$, there are only finitely many $x \in G$ such that there exists a positive integer $n$ such that $x^n = g$. It is shown that groups satisfy the ...