Abstract
We construct a supercharacter theory, and establish the supercharacter table for Sylow p-subgroups of the Chevalley groups
of Lie type
when p>2. Then we calculate the conjugacy classes, determine the complex irreducible characters by Clifford theory, and obtain the character tables for
when p>3.
2010 Mathematics Subject Classifications:
Acknowledgments
This paper is a part of my PhD thesis [Citation34] at the University of Stuttgart, Germany, so I am deeply grateful to my supervisor Richard Dipper. I also would like to thank Jun Hu, Markus Jedlitschky and Mathias Werth for the helpful discussions and valuable suggestions.
Disclosure statement
No potential conflict of interest was reported by the author.