Journal of Lie Theory

no. 4
Borel's Stable Range for the Cohomology of Arithmetic Groups
Journal of Lie Theory, Volume 29 (2019) no. 4, pp. 1093-1102
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.
DOI: 10.5802/jolt.1094
Classification: 11F75, 22E46
Keywords: Arithmetic groups, cohomology, representation theory 
@article{JOLT_2019_29_4_a11,
     author = {B. Tshishiku},
     title = {Borel's {Stable} {Range} for the {Cohomology} of {Arithmetic} {Groups}},
     journal = {Journal of Lie Theory},
     pages = {1093--1102},
     year = {2019},
     volume = {29},
     number = {4},
     doi = {10.5802/jolt.1094},
     zbl = {1442.22016},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1094/}
}
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B. Tshishiku. Borel's Stable Range for the Cohomology of Arithmetic Groups. Journal of Lie Theory, Volume 29 (2019) no. 4, pp. 1093-1102. doi: 10.5802/jolt.1094

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