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University of Oklahoma

1. VerNooy, Colin. K-types and Invariants for the Representations of GSp(4,R).

Degree: PhD, 2019, University of Oklahoma

Automorphic representations of the adelic group GSp (4 ,A Q ) are of importance in their relation to Siegel modular forms of degree 2. Given an automorphic representation π of GSp (4 ,A Q ), it decomposes into a product of admissible representations at each place. In the non-archimedean case, many useful results have been produced by Roberts and Schmidt. Here we find some invariants for the case of GSp (4 ,R ), including the K -type structure, the L- and epsilon -factors, and the Gelfand-Kirillov dimension for all irreducible admissible representations. Advisors/Committee Members: Schmidt, Ralf (advisor), Heyck, Hunter (committee member), Przebinda, Tomasz (committee member), Kujawa, Jonathan (committee member), Roche, Alan (committee member).

Subjects/Keywords: representation theory; GSp(4); sympleptic group

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

VerNooy, C. (2019). K-types and Invariants for the Representations of GSp(4,R). (Doctoral Dissertation). University of Oklahoma. Retrieved from http://hdl.handle.net/11244/321122

Chicago Manual of Style (16th Edition):

VerNooy, Colin. “K-types and Invariants for the Representations of GSp(4,R).” 2019. Doctoral Dissertation, University of Oklahoma. Accessed January 24, 2021. http://hdl.handle.net/11244/321122.

MLA Handbook (7th Edition):

VerNooy, Colin. “K-types and Invariants for the Representations of GSp(4,R).” 2019. Web. 24 Jan 2021.

Vancouver:

VerNooy C. K-types and Invariants for the Representations of GSp(4,R). [Internet] [Doctoral dissertation]. University of Oklahoma; 2019. [cited 2021 Jan 24]. Available from: http://hdl.handle.net/11244/321122.

Council of Science Editors:

VerNooy C. K-types and Invariants for the Representations of GSp(4,R). [Doctoral Dissertation]. University of Oklahoma; 2019. Available from: http://hdl.handle.net/11244/321122

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