77 citations · 361 across the 77 of their papers we have counts for
97 papers
Topology and monoid representations I: Foundations
Benjamin Steinberg
This paper aims to use topological methods to compute between an irreducible representation of a finite monoid inflated from its group completion and one inflated fr…
The modular representation theory of monoids
Benjamin Steinberg
This paper develops the fundamentals of modular representation theory for finite monoids, introducing the decomposition matrix and exploring its connection to Brauer characters. We…
Contractibility of the orbit space of the -subgroup complex via Brown-Forman discrete Morse theory
Benjamin Steinberg
We give a simple proof that the orbit space of the -subgroup complex of a finite group is contractible using Brown-Forman discrete Morse theory. This result was originally conje…
On the minimal faithful degree of Rhodes semisimple semigroups
Stuart Margolis, Benjamin Steinberg
In this paper we compute the minimum degree of a faithful representation by partial transformations of a finite semigroup admitting a faithful completely reducible matrix represent…
Finitely presented inverse semigroups with finitely many idempotents in each -class and non-Hausdorff universal groupoids
Pedro V. Silva, Benjamin Steinberg
The complex algebra of an inverse semigroup with finitely many idempotents in each -class is stably finite by a result of Munn. This can be proved fairly easily using $…
Stable finiteness of ample groupoid algebras, traces and applications
Benjamin Steinberg
In this paper we study stable finiteness of ample groupoid algebras with applications to inverse semigroup algebras and Leavitt path algebras, recovering old results and proving so…