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.
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Artin monoids, their homomorphisms and twins
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.