Geodesic
Borel's Stable Range for the Cohomology of Arithmetic Groups
Journal of Lie theory, Tome 29 (2019) no. 4, pp. 1093-1102
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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.
Classification : 11F75, 22E46
Mots-clés : Arithmetic groups, cohomology, representation theory 
@article{JLT_2019_29_4_JLT_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},
     url = {http://geodesic.mathdoc.fr/item/JLT_2019_29_4_JLT_2019_29_4_a11/}
}
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B. Tshishiku. Borel's Stable Range for the Cohomology of Arithmetic Groups. Journal of Lie theory, Tome 29 (2019) no. 4, pp. 1093-1102. http://geodesic.mathdoc.fr/item/JLT_2019_29_4_JLT_2019_29_4_a11/