Representation theory of right restriction Ehresmann semigroups with corresponding EI-Ehresmann category

In this talk, we consider the class of finite right restriction Ehresmann semigroups whose associated Ehresmann category is an EI-category (i.e., every endomorphism is an isomorphism). We give a description of the simple modules of such semigroups using induced left Schützenberger modules. We also show that the indecomposable projective modules can be described in a similar way but using generalized Green's relations instead of the standard ones. If time allows, we will consider in greater depth a natural example - the mononid $PT_n$ of all partial functions on an $n$-element set.

This is a joint work with Stuart Margolis.

Date and Venue

Start Date
Venue
Online Zoom meeting
End Date

Speaker

Itamar Stein

Speaker's Institution

Shamoon College of Engineering, Israel

Files

Area

Semigroups, Automata and Languages

Financiamento