In mathematics, a Hecke algebra is classically the algebra of Hecke operators studied by Erich Hecke. It may also refer to one of several algebras generalizing the classical Hecke algebra:
-
Hecke algebra of a pair (G,K) where G is a
reductive
Lie group and K is a compact subgroup of G.
- Hecke algebra of a finite group, the algebra spanned by the double cosets HgH of a subgroup H of a finite group G.
- Iwahori–Hecke algebra of a Coxeter group, corresponding to the case when G is the finite Chevalley group over a finite field and K is its Borel subgroup.
- Affine Hecke algebra
This
disambiguation page lists mathematics articles associated with the same title.
If an internal link led you here, you may wish to change the link to point directly to the intended article.
If an internal link led you here, you may wish to change the link to point directly to the intended article.
In mathematics, a Hecke algebra is classically the algebra of Hecke operators studied by Erich Hecke. It may also refer to one of several algebras generalizing the classical Hecke algebra:
-
Hecke algebra of a pair (G,K) where G is a
reductive
Lie group and K is a compact subgroup of G.
- Hecke algebra of a finite group, the algebra spanned by the double cosets HgH of a subgroup H of a finite group G.
- Iwahori–Hecke algebra of a Coxeter group, corresponding to the case when G is the finite Chevalley group over a finite field and K is its Borel subgroup.
- Affine Hecke algebra
This
disambiguation page lists mathematics articles associated with the same title.
If an internal link led you here, you may wish to change the link to point directly to the intended article.
If an internal link led you here, you may wish to change the link to point directly to the intended article.