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
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Cohomology of Hecke algebras. / Benson, David; Erdmann, Karin; Mikaelian, Aram.
In: Homology, Homotopy and Applications, Vol. 12, No. 2, 2010, p. 353-370.Research output: Contribution to journal › Article
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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 -