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.
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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.