Deligne-Lusztig theory
= Deligne-Lusztig theory
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Deligne-Lusztig theory constructs <virtual characters> of <finite groups of Lie type> from compactly supported <étale cohomology> of varieties associated with Frobenius and flags. <Rational maximal tori> and their finite-group <characters> provide induction data, while the geometry explains character orthogonality and cuspidality.