Adjoint groups, regular unipotent elements and discrete series characters
Author:
G. I. Lehrer
Journal:
Trans. Amer. Math. Soc. 214 (1975), 249-260
MSC:
Primary 20C15; Secondary 20G40
DOI:
https://doi.org/10.1090/S0002-9947-1975-0384915-9
MathSciNet review:
0384915
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Abstract: It is shown that if G is a finite Chevalley group or twisted type over a field of characteristic p and U is a maximal p-subgroup of G then any nonlinear irreducible character of U vanishes on regular elements. For groups of adjoint type the linear content of the restriction to U of a discrete series character J of G is calculated and it is deduced that J takes the value 0 or ${( - 1)^s}$ on regular elements of U $(s = {\text {rank}}\;G)$.
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Article copyright:
© Copyright 1975
American Mathematical Society
