Cohomology of Hecke algebras

David Benson, Karin Erdmann, Aram Mikaelian

Research output: Contribution to journalArticlepeer-review


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 languageEnglish
Pages (from-to)353-370
Number of pages18
JournalHomology, Homotopy and Applications
Issue number2
Publication statusPublished - 2010


  • Hecke algebra
  • cohomology ring


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