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Lusztig's conjecture for finite special linear groups

Author: Toshiaki Shoji
Journal: Represent. Theory 10 (2006), 164-222
MSC (2000): Primary 20G40, 20G05
Posted: March 22, 2006
MathSciNet review: 2219112
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Abstract: In this paper, we prove Lusztig's conjecture for $G^F = SL_n(\mathbf F_q)$ , i.e., we show that characteristic functions of character sheaves of coincide with almost characters of up to scalar constants, assuming that the characteristic of $\mathbf F_q$ is not too small. We determine these scalars explicitly. Our result gives a method of computing irreducible characters of .

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