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About: Alvis–Curtis duality     Goto   Sponge   NotDistinct   Permalink

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In mathematics, the Alvis–Curtis duality is a duality operation on the characters of a reductive group over a finite field, introduced by Charles W. Curtis and studied by his student Dean Alvis. Kawanaka introduced a similar duality operation for Lie algebras. Alvis–Curtis duality has order 2 and is an isometry on generalized characters. , 8.2) discusses Alvis–Curtis duality in detail.