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Browsing Auburn Theses and Dissertations by Author "Thompson, Mary Clair"
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Asymptotic Results in Noncompact Semisimple Lie Groups
Thompson, Mary Clair (2013-04-22)
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 ...
On the Conjugacy Theorems of Cartan and Borel Subalgebras
Thompson, Mary Clair (2010-04-09)
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 ...