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On Complex Characters of $SL(4,q)$

Year 2001, Volume: 57 , 163 - 213, 20.03.2012

Neşe Yelkenkaya

Abstract

In this paper we restricted the complex characters of $GL(4,p)$ down to $SL(4,q)$ by using the character values on classes of $GL(4,p)$. Using a version of Clifford's Theorem making use of properties of roots of unity, we determine which restricted characters are irreducible, which of them are split and how many parts they split up into irreducible complex characters of $SL(4,q)$ and degrees of conjugate irreducible components of all reducible restricted characters. 

Keywords

Linear algebraic groups over finite fields

Year 2001, Volume: 57 , 163 - 213, 20.03.2012

Neşe Yelkenkaya

Abstract

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Details

Primary Language English
Journal Section Mathematics
Authors

Neşe Yelkenkaya This is me

Publication Date March 20, 2012
Published in Issue Year 2001 Volume: 57

Cite

APA Yelkenkaya, N. (2012). On Complex Characters of $SL(4,q)$. İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy, 57, 163-213.
AMA Yelkenkaya N. On Complex Characters of $SL(4,q)$. İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy. March 2012;57:163-213.
Chicago Yelkenkaya, Neşe. “On Complex Characters of $SL(4,q)$”. İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy 57, March (March 2012): 163-213.
EndNote Yelkenkaya N (March 1, 2012) On Complex Characters of $SL(4,q)$. İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy 57 163–213.
IEEE N. Yelkenkaya, “On Complex Characters of $SL(4,q)$”, İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy, vol. 57, pp. 163–213, 2012.
ISNAD Yelkenkaya, Neşe. “On Complex Characters of $SL(4,q)$”. İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy 57 (March 2012), 163-213.
JAMA Yelkenkaya N. On Complex Characters of $SL(4,q)$. İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy. 2012;57:163–213.
MLA Yelkenkaya, Neşe. “On Complex Characters of $SL(4,q)$”. İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy, vol. 57, 2012, pp. 163-1.
Vancouver Yelkenkaya N. On Complex Characters of $SL(4,q)$. İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy. 2012;57:163-21.