##  [Hecke Algebra](/hecke-algebra) 

  ##  [Hecke Algebra](https://algebra.quantumdictionary.io/hecke-algebra-0) 

  

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- Pure Mathematics -

**Algebra Dictionary**

 







 

 

 

 



 

 

 

 

Definition

An associative algebra that is a deformation of a group algebra attached to a Coxeter group or an Iwahori subgroup, typically generated by elements T_s indexed by simple reflections with braid relations and quadratic deformations parametrized (commonly) by q; specializations recover the group algebra or other limit algebras.