Browsing by Author "Ian M. Musson"
Now showing items 1-3 of 3
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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 ...
