Journal Home Page

Cumulative Index

List of all Volumes

Complete Contents
of this Volume

Previous Article

Next Article
 


Journal of Lie Theory 29 (2019), No. 4, 1093--1102
Copyright Heldermann Verlag 2019



Borel's Stable Range for the Cohomology of Arithmetic Groups

Bena Tshishiku
Dept. of Mathematics, Brown University, Providence, RI 02912, U.S.A.
bena_tshishiku@brown.edu



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.

[ Fulltext-pdf  (121  KB)] for subscribers only.