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math.RT2026
Hecke monoids, their homomorphisms and parabolicity
Arkady Berenstein, Jacob Greenstein, Jian-Rong Li
We study homomorphisms of Hecke monoids, notably parabolic homomorphisms, which map parabolic elements to parabolic elements, and injective ones. The importance of the first class…
math.RT2024
Hecke and Artin monoids and their homomorphisms
Arkady Berenstein, Jacob Greenstein, Jian-Rong Li
The aim of the present work is to systematically study homomorphisms of Hecke and Artin monoids and thus to develop their comprehensive theory. Our original motivation was the stri…