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 |
|---|---|
| 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