In this talk I will present a certain hierarchy of diagrammatic monoids which can be unified by the observation that they all are finite quotients of singular Artin monoids of a certain fixed Coxeter type. In type A, these include a certain submonoid of binary relations, the dual symmetric inverse monoid, the symmetric inverse monoid and the Brauer monoid. Various properties of these monoids, including presentations, will be discussed.
Based on a joint work with Helena Jonsson, Elin Persson Westin, Shraddha Srivastava, Mateusz Stroinski and Xiaoyu Zhu.
Date and Venue
Online Zoom meeting
Department of Mathematics, Uppsala University, Sweden
Volodymyr Mazorchuk-30Sep2022.pdf404.07 KB
Semigroups, Automata and Languages