44 citations · 65 across the 19 of their papers we have counts for
20 papers
Haar measure for totally positive split real semisimple quantum groups of classical type
Kenny De Commer, Geoffrey Janssens, Wannes Malfait
Let be a non-zero real number and put . Let be a semisimple split real Lie group of classical type, with Lie algebra and associated Bor…
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…
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…
Center-preserving irreducible representations of finite groups
Pierre-Emmanuel Caprace, Geoffrey Janssens, François Thilmany
Given finite groups , a representation of is called center-preserving on if the only elements of that become central under are those that were already…
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…
Simultaneous ping-pong for finite subgroups of reductive groups
Geoffrey Janssens, Doryan Temmerman, François Thilmany
Let be a Zariski-dense subgroup of a reductive group defined over a field . Given a finite collection of finite subgroups () of a…
A unit theorem for products of groups with several ends and Applications
Geoffrey Janssens
In his survey, Kleinert defined formally and formulated the problem to obtain unit theorems for unit groups of orders in a semisimple algebra . If is a group algebra…
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…
On integral decomposition of unipotent elements in integral group rings
Geoffrey Janssens, Leo Margolis
Jespers and Sun conjectured that if a finite group has the property ND, i.e. for every nilpotent element in the integral group ring and every primitive centra…
Units of twisted group rings and their correlations to classical group rings
Geoffrey Janssens, Eric Jespers, Ofir Schnabel
This paper is centered around the classical problem of extracting properties of a finite group from the ring isomorphism class of its integral group ring . This p…
Codimension Growth of Lie algebras with a generalized action
Geoffrey Janssens
Let be a finite dimensional Lie -algebra endowed with a generalized action by an associative algebra . We investigate the exponential growth rate of the sequence of -g…
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…
A dichotomy for integral group rings via higher modular groups as amalgamated products
Andreas Bächle, Geoffrey Janssens, Eric Jespers +2
We show that , the unit group of the integral group ring , either satisfies Kazhdan's property (T) or is, up to commensurability, a non-triv…
Abelianization and fixed point properties of units in integral group rings
Andreas Bächle, Geoffrey Janssens, Eric Jespers +2
Let be a finite group and the unit group of the integral group ring . We prove a unit theorem, namely a characterization of when $\ma…
Free products in the unit group of the integral group ring of a finite group
Geoffrey Janssens, Eric Jespers, Doryan Temmerman
Let be a finite group and let be a prime. We continue the search for generic constructions of free products and free monoids in the unit group of…
A reduction theorem for -rigid modules
Florian Eisele, Geoffrey Janssens, Theo Raedschelders
We prove a theorem which gives a bijection between the support -tilting modules over a given finite-dimensional algebra and the support -tilting modules over , where…
Semigroup graded algebras and graded PI-exponent
Alexey Gordienko, Geoffrey Janssens, Eric Jespers
Let be a finite semigroup and let be a finite dimensional -graded algebra. We investigate the exponential rate of growth of the sequence of graded codimensions $c_n^S(A)…
The Polynomial Part of the Codimension Growth of Affine PI Algebras
Eli Aljadeff, Geoffrey Janssens, Yakov Karasik
Let be a field of characteristic zero and be an associative affine -algebra satisfying a polynomial identity (PI). The codimension sequence associated to , ,…
-modules and polynomial identities with integer coefficients
Alexey Gordienko, Geoffrey Janssens
We show that, like in the case of algebras over fields, the study of multilinear polynomial identities of unitary rings can be reduced to the study of proper polynomial identities.…
Primitive Central Idempotents of Rational Group Algebras
Geoffrey Janssens
We give a description of the primitive central idempotents of the rational group algebra QG of a finite group G. Such a description is already investigated by Jespers, Olteanu and…