Irreducible non-cuspidal characters of GSp(4,Fq)

dc.contributor.advisor	Schmidt, Ralf
dc.creator	Breeding II, Jeffery Edward
dc.date.accessioned	2019-04-27T21:33:47Z
dc.date.available	2019-04-27T21:33:47Z
dc.date.issued	2011
dc.description.abstract	Admissible non--supercuspidal representations of GSp(4,F), where F is a local field of characteristic zero with an odd-ordered residue field Fq, have finite dimensional spaces of fixed vectors under the action of principal congruence subgroups. We can say precisely what these dimensions are for nearly all local fields and principal congruence subgroups of level p by understanding the non-cuspidal representation theory of the finite group GSp(4,Fq). The conjugacy classes and the list of irreducible characters of this group are given. Genericity and cuspidality of the irreducible characters are also determined.
dc.format.extent	145 pages
dc.format.medium	application.pdf
dc.identifier	99302939302042
dc.identifier.uri	https://hdl.handle.net/11244/319020
dc.language	en_US
dc.relation.requires	Adobe Acrobat Reader
dc.subject	Number theory
dc.subject	Linear algebraic groups
dc.thesis.degree	Ph.D.
dc.title	Irreducible non-cuspidal characters of GSp(4,Fq)
dc.type	text
dc.type	document
ou.group	College of Arts and Sciences::Department of Mathematics

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