Spinoriality of orthogonal representations GL(n) (F-q)

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Pacific Journal of Mathematics

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We determine which orthogonal representations V of GLn(Fq) lift to the double cover Pin(V) of the orthogonal group O(V). We cover all n≥1 and prime powers q, except for (n,q)=(3,4).

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Pacific Journal of Mathematics, 311(2), 369-383.

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