4 papers · 1 filter
Additive categorification of the monoidal -invariant
Ricardo Canesin, Peigen Cao, Geoffrey Janssens
In this paper, we contribute to the broad aim of relating invariants of additive and monoidal categorifications of cluster algebras. Specifically, in the setting of representations…
Representing in Low Rank I: conjugacy, topological and homological aspects
Robynn Corveleyn, Geoffrey Janssens, Doryan Temmerman
In this series of papers, we investigate properties of a finite group which are determined by its low degree irreducible representations over a number field , i.e. its represent…
A basis and Schur-Weyl duality for the loop Hecke algebra
Geoffrey Janssens, Abel Lacabanne, Léo Schelstraete +1
The loop Hecke algebra is a generalization of the Hecke algebra to the loop braid group, introduced by Damiani, Martin and Rowell. We give a new presentation of the loop Hecke alge…
Glider Representation Rings with a view on distinguishing groups
Frederik Caenepeel, Geoffrey Janssens
Let be a finite group. In the first part of the paper we develop further the foundations of the youngly introduced glider representation theory. Glider representations encompas…