Geodesic
Cohomology of Hecke algebras
Homology, homotopy, and applications, Tome 12 (2010) no. 2, pp. 353-370.

Voir la notice de l'article provenant de la source International Press of Boston

We compute the cohomology $H^*(\mathcal{H},k)=\mathrm{Ext}^*_{\mathcal{H}}(k,k)$ where $\mathcal{H}=\mathcal{H}(n,q)$ is the Hecke algebra of the symmetric group $\mathfrak{S}_n$ at a primitive $\ell$th root of unity $q$, and $k$ is a field of characteristic zero. The answer is particularly interesting when $\ell=2$, which is the only case where it is not graded commutative. We also carry out the corresponding computation for Hecke algebras of type $B_n$ and $D_n$ when $\ell$ is odd.
DOI : 10.4310/HHA.2010.v12.n2.a12
Classification : 20C08
Keywords: Hecke algebra, cohomology ring 
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     title = {Cohomology of {Hecke} algebras},
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     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2010.v12.n2.a12/}
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David Benson; Karin Erdmann; Aram Mikaelian. Cohomology of Hecke algebras. Homology, homotopy, and applications, Tome 12 (2010) no. 2, pp. 353-370. doi : 10.4310/HHA.2010.v12.n2.a12. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2010.v12.n2.a12/

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