6 citations · 16 across the 7 of their papers we have counts for
7 papers
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…
Glider Brauer-Severi varietes of central simple algebras
Frederik Caenepeel, Freddy Van Oystaeyen
The glider Brauer-Severy variety GBS(A) of a central simple algebra A over a field K is introduced as the set of all irreducible left glider ideals in A for some filtration FA. For…
Generalized characters for glider representations of groups
Frederik Caenepeel, Fred Van Oystaeyen
Glider representations can be defined for a finite algebra filtration FKG determined by a chain of subgroups 1 < G_1 < ... < G_d = G. In this paper we develop the generalized chara…
Glider representations of chains of semisimple Lie algebras
Frederik Caenepeel
We start the study of glider representations in the setting of semisimple Lie algebras. A glider representation is defined for some positively filtered ring and here we consid…
Glider representations of group algebra filtrations of nilpotent groups
Frederik Caenepeel, Fred Van Oystaeyen
We continue the study of glider representations of finite groups with given structure chain of subgroups . We give a characterizat…
Clifford theory for glider representations
Frederik Caenepeel, Fred Van Oystaeyen
Classical Clifford theory studies the decomposition of simple -modules into simple -modules for some normal subgroup . In this paper we deal with chains of…
Localization and sheaves of glider representations
Frederik Caenepeel, Fred Van Oystaeyen
The notion of a glider representation of a chain of normal subgroups of a group is defined by a new structure, i.e. a fragment for a suitable filtration on the group ring. This is…