G. Janssens

activity

20242026

collaborators

9 papers

math.RT2026

Additive categorification of the monoidal $I^$ -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…

math.GR2026

Center-preserving irreducible representations of finite groups

Pierre-Emmanuel Caprace, Geoffrey Janssens, FranÃ§ois Thilmany

Given finite groups $H \leq G$ , a representation $I ¨ $ of $G$ is called center-preserving on $H$ if the only elements of $H$ that become central under $I ¨ $ are those that were alrea…

math.RT2026

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 $F$ , i.e. its represent…

math.RA2026

On set-theoretic solutions of pentagon equation and positive basis Hopf algebras

Ilaria Colazzo, Geoffrey Janssens

We investigate the connection between bijective, not necessarily finite, set-theoretic solutions of the pentagon equation and Hopf algebras. Firstly, we prove that finite solutions…

math.GR2025

Simultaneous ping-pong for finite subgroups of reductive groups

Geoffrey Janssens, Doryan Temmerman, FranÃ§ois Thilmany

Let $I^$ be a Zariski-dense subgroup of a reductive group $G$ defined over a field $F$ . Given a finite collection of finite subgroups $H_{i}$ ( $i \in I$ ) of $G (F)$ …

math.GR2025

A unit theorem for products of groups with several ends and Applications

Geoffrey Janssens

In his $1994$ survey, Kleinert defined formally and formulated the problem to obtain unit theorems for unit groups of orders in a semisimple algebra $A$ . If $A$ is a group algebra…