6 papers
-equivalence for associative algebras
Helena Jonsson
We study the combinatorics of an analogue of Green's -relation (a.k.a. the two-sided relation) for the bicategory of finite-dimensional bimodules over finite-dimension…
Finite quotients of singular Artin monoids and categorification of the desingularization map
Helena Jonsson, Volodymyr Mazorchuk, Elin Persson Westin +3
We study various aspects of the structure and representation theory of singular Artin monoids. This includes a number of generalizations of the desingularization map and explicit p…
Simple transitive 2-representations of bimodules over radical square zero Nakayama algebras via localization
Helena Jonsson, Mateusz Stroiński
We study the classification problem of simple transitive 2-representations of the 2-category of finite-dimensional bimodules over a radical square zero Nakayama algebra. This resul…
On Simple Transitive 2-representations of Bimodules over the Dual Numbers
Helena Jonsson
We study the problem of classification of simple transitive 2-representations for the (non-finitary) 2-category of bimodules over the dual numbers. We show that simple transitive 2…
Extreme representations of semirings
Chih-Whi Chen, Brendan Frisk Dubsky, Helena Jonsson +4
This is a write-up of the discussions during the meetings of the study group on representation theory of semirings which was organized at the Department of Mathematics, Uppsala Uni…
Cell Structure of Bimodules over Radical Square Zero Nakayama Algebras
Helena Jonsson
We describe the combinatorics of the cell structure of the tensor category of bimodules over a radical square zero Nakayama algebra. This accounts to an explicit description of lef…