1 citations · 1 across the 4 of their papers we have counts for
4 papers
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…
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…
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…
Transitive and Gallai colorings
R. M. Adin, A. Berenstein, J. Greenstein +3
A Gallai coloring of the complete graph is an edge-coloring with no rainbow triangle. This concept first appeared in the study of comparability graphs and anti-Ramsey theory. We in…