The authors classify locally injective connected homomorphisms between Hecke monoids of classical types, identify many parabolic homomorphisms, and partially describe all homomorphisms between these monoids.
Kenney,Coxeter groups, Coxeter monoids and the Bruhat order, J
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Hecke monoids, their homomorphisms and parabolicity
The authors classify locally injective connected homomorphisms between Hecke monoids of classical types, identify many parabolic homomorphisms, and partially describe all homomorphisms between these monoids.