### Abstract

We compute the cohomology H*(H,k)=Ext*H(k,k) where H=H(n,q) is the Hecke algebra of the symmetric group Sn at a primitive lth root of unity q, and k is a field of characteristic zero. The answer is particularly interesting when l = 2, which is the only case where it is not graded commutative. We also carry out the corresponding computation for Hecke algebras of type Bn and Dn when l is odd.

Original language | English |
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Pages (from-to) | 353-370 |

Number of pages | 18 |

Journal | Homology, Homotopy and Applications |

Volume | 12 |

Issue number | 2 |

Publication status | Published - 2010 |

### Keywords

- Hecke algebra
- cohomology ring

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## Cite this

Benson, D., Erdmann, K., & Mikaelian, A. (2010). Cohomology of Hecke algebras.

*Homology, Homotopy and Applications*,*12*(2), 353-370. http://projecteuclid.org/euclid.hha/1296223887