Item – Theses Canada

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OCLC number
1019481413
Link(s) to full text
LAC copy
Author
Li, Chao.
Title
A Local Twisted Trace Formula and Twisted Orthogonality Relations.
Degree
Ph. D. -- University of Toronto, 2009
Publisher
Ottawa : Library and Archives Canada = Bibliothèque et Archives Canada, 2013.
Description
1 online resource
Notes
Includes bibliographical references.
Abstract
<?Pub Inc> Around 1990, Arthur proved a local (ordinary) trace formula for real or p-adic connected reductive groups. The local trace formula is a powerful tool in the local harmonic analysis of reductive groups. One of the aims of this thesis is to establish a local twisted trace formula for certain non-connected reductive groups, which is a twisted version of Arthur's local trace formula [10]. As an application of the local twisted trace formula, we will prove some twisted orthogonality relations, which are generalizations of Arthur's results about orthogonality relations for tempered elliptic characters [11]. To establish these relations, we will also give a classification of twisted elliptic representations.
ISBN
9780494972724
0494972726
9780494972724