The construction of Hecke algebras associated to a Coxeter group
The construction of Hecke algebras associated to a Coxeter group
Hecke algebras associated to reductive groups over a finite field F q were introduced in order to decompose representations of those groups induced from parabolic subgroups.They have subsequently become ubiquitous in representation theory, but often as algebras whose coefficients are polynomials, in which variables replace various powers of q.The existence …