Skip to Main Content
 

Global Search Box

 
 
 
 

Files

File List


Poderzay with signature.pdf (369.21 KB)

ETD Abstract Container

Abstract Header

Principal Series Representations of GL(2) Over Finite Fields

Poderzay, Regina Carmella
http://rave.ohiolink.edu/etdc/view?acc_num=ysu1527607113143289

Abstract Details

2018, Master of Science in Mathematics, Youngstown State University, Department of Mathematics and Statistics.
The goal of this thesis is to construct the principal series representations of GL(2). We do this in three parts. The aim of Part II is to become acquinted with representation theory. We observe rudimentary results and examples using prerequisite knowledge from linear algebra and group theory. We begin Part III by inducing new representations from old ones. A key component in the classification of induced representations is Mackey’s theorem. A generous portion of this thesis is dedicated to the proof of Mackey’s theorem. At last is Part IV where we construct the principal series representations. This constuction is motivated by the Bruhat decomposition of GL(2) into the Borel subgroup and is achieved by counting the conjugacy classes of GL2(𝔽q).
Thomas Madsen, PhD (Committee Chair)
Neil Flowers, PhD (Committee Member)
Thomas Wakefield, PhD (Committee Member)
58 p.
Mathematics
representation theory; classification of irreducible representations; principal series representations; Mackey theory

Recommended Citations

Citations

  • Poderzay, R. C. (2018). Principal Series Representations of GL(2) Over Finite Fields [Master's thesis, Youngstown State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=ysu1527607113143289

    APA Style (7th edition)

  • Poderzay, Regina. Principal Series Representations of GL(2) Over Finite Fields. 2018. Youngstown State University, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=ysu1527607113143289.

    MLA Style (8th edition)

  • Poderzay, Regina. "Principal Series Representations of GL(2) Over Finite Fields." Master's thesis, Youngstown State University, 2018. http://rave.ohiolink.edu/etdc/view?acc_num=ysu1527607113143289

    Chicago Manual of Style (17th edition)

ysu1527607113143289
792
© 2018, all rights reserved.
This open access ETD is published by Youngstown State University and OhioLINK.