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Sur l’homologie des groupes orthogonaux et symplectiques à coefficients tordus

Sur l’homologie des groupes orthogonaux et symplectiques à coefficients tordus

We compute the stable homology of orthogonal and symplectic groups, over a finite field k, when the coefficients module is twisted by a usual endofunctor F of k-vector spaces (e.g. an exterior, a symmetric, or a divided power) - that is, for each natural integer i, we compute the colimit …