Standard homomorphisms of Artin monoids and compositions thereof solve the twin homomorphism problem for Coxeter groups, with expected injectivity under optimality conditions, a classification of disjoint cases, and a conjecture for rank-two domains.
Kenney,Coxeter groups, Coxeter monoids and the Bruhat order, J
2 Pith papers cite this work. Polarity classification is still indexing.
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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.