Publications
A reduction theorem for τ -rigid modules Vrije Universiteit Brussel
We prove a theorem which gives a bijection between the support τ-tilting modules over a given finite-dimensional algebra A and the support τ-tilting modules over A / I, where I is the ideal generated by the intersection of the center of A and the radical of A. This bijection is both explicit and well-behaved. We give various corollaries of this, with a particular focus on blocks of group rings of finite groups. In particular we show that ...
Generalized characters for glider representations of groups University of Antwerp
Codimension Growth of Lie algebras with a generalized action Vrije Universiteit Brussel
Let F be a field of characteristic 0 and L a finite dimensional Lie F-algebra endowed with a generalized action by an associative algebra H. We investigate the exponential growth rate of the sequence of H-graded codimensions c H n (L) of L which is a measure for the number of non-polynomial H-identities of L. More precisely, we construct an S-graded Lie algebra (with S a semigroup) which has an irrational exponential growth rate (the exact ...