Deligne–Lusztig theory

In mathematics, Deligne–Lusztig theory is a way of constructing linear representations of finite groups of Lie type using ℓ-adic cohomology (Étale cohomology) with compact support, introduced by Pierre Deligne and George Lusztig (1976).

Lusztig (1985) used these representations to find all representations of all finite simple groups of Lie type.

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