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math.QA2026
Artin monoids, their homomorphisms and twins
Arkady Berenstein, Jacob Greenstein, Jian-Rong Li
Motivated by the twin homomorphism problem for Coxeter groups and the corresponding Hecke monoids, we find a large class of its solutions originating from standard homomorphisms of…
math.QA2026
Monomial bialgebras
Arkady Berenstein, Jacob Greenstein, Jian-Rong Li
Starting from a single solution of QYBE (or CYBE) we produce an infinite family of solutions of QYBE (or CYBE) parametrized by transitive arrays and, in particular, by signed permu…