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Unipotent elements and characters of finite Chevalley groups. (English) Zbl 0329.20025


MSC:

20G05 Representation theory for linear algebraic groups
Full Text: DOI

References:

[1] A. Borel et al.: Seminar on Algebraic Groups and Related Finite Groups, Lecture Notes in Mathematics 131. Springer, Berlin-Heidelberg-New York (1970). · Zbl 0192.36201 · doi:10.1007/BFb0081541
[2] C. W. Curtis: The Steinberg character of a finite group with a (B, N) -pair. J. Algebra, 4, 433-441 (1966). · Zbl 0161.02203 · doi:10.1016/0021-8693(66)90033-0
[3] I. M. Gel’fand and M. I. Graev: Construction of irreducible representations of simple algebraic groups over a finite field. Soviet Math. Dokl., 3, 1646- 1649 (1962). i) N. Iwahori: On the structure of the Hecke ring of a Chevalley group over a finite field. J. Faculty of Science Tokyo University, 10 (part 2), 215- 236 (1964). · Zbl 0119.26902
[4] R. Kilmoyer: Some irreducible complex representations of a finite group with a BN-pair. Ph.D. dissertation, M. I. T. (1969).
[5] R. Steinberg: Regular elements of semisimple algebraic groups. Inst. Hautes Etudes Sci. Publ. Math., 25, 49-80 (1965). · Zbl 0136.30002 · doi:10.1007/BF02684397
[6] R. Steinberg: Endomorphisms of Linear Algebraic Groups. Memoirs of the Amer. Math. Soc, 80 (1968). · Zbl 0164.02902
[7] N. Kawanaka: Unipotent elements and characters of finite Chevalley groups (to appear in Osaka Journal of Mathematics). · Zbl 0314.20031 · doi:10.3792/pja/1195518666
[8] J. A. Green and G. I. Lehrer: On the principal series characters of Chevalley groups and twisted types (preprint). · Zbl 0756.93039
[9] G. I. Lehrer: Adjoint groups, regular unipotent elements and discrete series chararters (preprint). · Zbl 0345.20047 · doi:10.2307/1997106
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