### Abstract

Original language | English |
---|---|

Pages (from-to) | 353-370 |

Number of pages | 18 |

Journal | Homology, Homotopy and Applications |

Volume | 12 |

Issue number | 2 |

Publication status | Published - 2010 |

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### Keywords

- Hecke algebra
- cohomology ring

### Cite this

*Homology, Homotopy and Applications*,

*12*(2), 353-370.

**Cohomology of Hecke algebras.** / Benson, David; Erdmann, Karin; Mikaelian, Aram.

Research output: Contribution to journal › Article

*Homology, Homotopy and Applications*, vol. 12, no. 2, pp. 353-370.

}

TY - JOUR

T1 - Cohomology of Hecke algebras

AU - Benson, David

AU - Erdmann, Karin

AU - Mikaelian, Aram

PY - 2010

Y1 - 2010

N2 - 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.

AB - 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.

KW - Hecke algebra

KW - cohomology ring

M3 - Article

VL - 12

SP - 353

EP - 370

JO - Homology, Homotopy and Applications

JF - Homology, Homotopy and Applications

SN - 1532-0073

IS - 2

ER -