Diwadkar, Jyotsna Mainkar
(2006)
Nilpoten Conjugacy Classes of Reductive p-adic Lie Algebras and Definability in Pas's Language.
Doctoral Dissertation, University of Pittsburgh.
(Unpublished)
Abstract
We will study the following question: Are nilpotent conjugacy classes of reductive Lie algebras over p-adic fields definable by a formula in Pas's language. We answer in the affirmative in three cases: special orthogonal Lie algebras so(n) for n odd, special linear Lie algebra sl(3) and the exceptional Lie algebra G2 over p-adic fields. The nilpotent conjugacy classes in these three cases have been parameterized by Waldspurger (so(n)) and S. DeBacker(sl(3), G2). For sl (3) and G2 we are required to extend Pas's language by a finite number of symbols.
Share
| Citation/Export: |
|
| Social Networking: |
|
Details
| Item Type: |
University of Pittsburgh ETD
|
| Status: |
Unpublished |
| Creators/Authors: |
|
| ETD Committee: |
|
| Date: |
20 September 2006 |
| Date Type: |
Completion |
| Defense Date: |
11 July 2006 |
| Approval Date: |
20 September 2006 |
| Submission Date: |
1 August 2006 |
| Access Restriction: |
No restriction; Release the ETD for access worldwide immediately. |
| Institution: |
University of Pittsburgh |
| Schools and Programs: |
Dietrich School of Arts and Sciences > Mathematics |
| Degree: |
PhD - Doctor of Philosophy |
| Thesis Type: |
Doctoral Dissertation |
| Refereed: |
Yes |
| Uncontrolled Keywords: |
affine apartments; special orhtogonal |
| Other ID: |
http://etd.library.pitt.edu/ETD/available/etd-08012006-134916/, etd-08012006-134916 |
| Date Deposited: |
10 Nov 2011 19:55 |
| Last Modified: |
15 Nov 2016 13:47 |
| URI: |
http://d-scholarship.pitt.edu/id/eprint/8785 |
Metrics
Monthly Views for the past 3 years
Plum Analytics
Actions (login required)
 |
View Item |
![[feed]](/images/feed-icon-32x32.png){kind=icon}