Borel's stable range for the cohomology of arithmetic groups
Group Theory
2019-04-11 v1 Number Theory
Abstract
In this note, we remark on the range in Borel's theorem on the stable cohomology of the arithmetic groups Sp(2n,Z) and SO(n,n;Z). This improves the range stated in Borel's original papers, an improvement that was known to Borel. Our main task is a technical computation involving the Weyl group action on roots and weights. This note originally appeared as the appendix to arXiv:1711.03139.
Cite
@article{arxiv.1904.04902,
title = {Borel's stable range for the cohomology of arithmetic groups},
author = {Bena Tshishiku},
journal= {arXiv preprint arXiv:1904.04902},
year = {2019}
}
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