Journal of Lie Theory 29 (2019), No. 4, 1093--1102
Copyright Heldermann Verlag 2019
Borel's Stable Range for the Cohomology of Arithmetic Groups
Dept. of Mathematics, Brown University, Providence, RI 02912, U.S.A.
We remark on the range in Borel's theorem on the stable cohomology of the arithmetic groups Sp2n(Z) and SOn,n(Z). The main result improves the range stated in Borel's original papers, an improvement that was known to Borel. The proof is a technical computation involving the Weyl group action on roots and weights.
Keywords: Arithmetic groups, cohomology, representation theory.
MSC: 11F75, 22E46.
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