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Representations of SL(2,q)

Uchtman, Christopher Lee
http://orcid.org/0000-0001-6405-6685
http://rave.ohiolink.edu/etdc/view?acc_num=kent1433952120

Abstract Details

2015, MS, Kent State University, College of Arts and Sciences / Department of Mathematical Sciences.
In the study of representation theory, one of the cases that is often studied is that of SL(2,q). The goal of this paper was to discover if there is a way to determine the explicit representations when q is a power of 2 without doing all of the calculations from scratch. Beginning by focusing on a particular induced representation we were hoping for the emergence of a pattern that could be applied to any case in which we were interested. There does seem to be a potential pattern that may be emerging in some of the cases which we considered but we were unsuccessful in explicitly determining such a pattern at this time. We present the results that we did obtain for the general case of q=2^n, as well as the full explicit representations for the cases where q=8 and q=16.
Donald White, Ph.D. (Advisor)
Stephen Gagola, Ph.D. (Committee Member)
Mark Lewis, Ph.D. (Committee Member)
66 p.
Mathematics
Representation Theory; induced representation

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Citations

  • Uchtman, C. L. (2015). Representations of SL(2,q) [Master's thesis, Kent State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=kent1433952120

    APA Style (7th edition)

  • Uchtman, Christopher. Representations of SL(2,q). 2015. Kent State University, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=kent1433952120.

    MLA Style (8th edition)

  • Uchtman, Christopher. "Representations of SL(2,q)." Master's thesis, Kent State University, 2015. http://rave.ohiolink.edu/etdc/view?acc_num=kent1433952120

    Chicago Manual of Style (17th edition)

kent1433952120
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This open access ETD is published by Kent State University and OhioLINK.