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On the Conjugacy Theorems of Cartan and Borel Subalgebras
We study the conjugacy theorems of Cartan subalgebras and Borel subalgebras of general Lie algebras. We present a history of the problem, along with two proofs of the theorems which stay completely within the realm of ...
Asymptotic Results in Noncompact Semisimple Lie Groups
This dissertation is a collection of results on analysis on real noncompact semisimple Lie groups. Specifically, we examine the convergence patterns of sequences arising from the special group decompositions that exist ...