On the Conjugacy Theorems of Cartan and Borel Subalgebras
| Metadata Field | Value | Language |
|---|---|---|
| dc.contributor.advisor | Tam, Tin-Yau | |
| dc.contributor.author | Thompson, Mary Clair | |
| dc.date.accessioned | 2010-04-09T18:51:07Z | |
| dc.date.available | 2010-04-09T18:51:07Z | |
| dc.date.issued | 2010-04-09T18:51:07Z | |
| dc.identifier.uri | http://hdl.handle.net/10415/2098 | |
| dc.description.abstract | 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 Lie algebras. The first is a reworking by Humphreys of an earlier proof, relying upon the ideas of Borel subalgebras and using double induction. The second proof is a newer proof presented by Michael which substantially simplifies the theory. | en |
| dc.rights | EMBARGO_NOT_AUBURN | en |
| dc.subject | Mathematics and Statistics | en |
| dc.title | On the Conjugacy Theorems of Cartan and Borel Subalgebras | en |
| dc.type | thesis | en |
| dc.embargo.length | NO_RESTRICTION | en_US |
| dc.embargo.status | NOT_EMBARGOED | en_US |