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Nilpoten Conjugacy Classes of Reductive p-adic Lie Algebras and Definability in Pas's Language

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 (Unpublished)

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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.


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Details

Item Type: University of Pittsburgh ETD
Status: Unpublished
Creators/Authors:
CreatorsEmailPitt UsernameORCID
Diwadkar, Jyotsna Mainkarjmdiwadkar@yahoo.comjmdiwadkar@yahoo.com
ETD Committee:
TitleMemberEmail AddressPitt UsernameORCID
Committee ChairHales, Thomas Chales@pitt.eduhales@pitt.edu
Committee MemberConstantine, Gregory Mgmc@pitt.edugmc@pitt.edu
Committee MemberFulman, Jasonfulman@usc.edufulman@usc.edu
Committee MemberAvigad, Jeremyavigad@andrew.cmu.eduavigad@andrew.cmu.edu
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: 06 Jun 2012 19:01
URI: http://d-scholarship.pitt.edu/id/eprint/8785

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