Abstract
Classical Clifford theory studies the decomposition of simple G-modules into simple H-modules for some normal subgroup H ⊲ G. In this paper we deal with chains of normal subgroups 1⊲G 1⊲· · ·⊲G d = G, which allow to consider fragments and in particular glider representations. These are given by a descending chain of vector spaces over some field K and relate different representations of the groups appearing in the chain. Picking some normal subgroup H ⊲ G one obtains a normal subchain and one can construct an induced fragment structure. Moreover, a notion of irreducibility of fragments is introduced, which completes the list of ingredients to perform a Clifford theory.
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Presented by Radha Kessar.
The first author is Aspirant PhD Fellow of FWO
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Caenepeel, F., Van Oystaeyen, F. Clifford Theory for Glider Representations. Algebr Represent Theor 19, 1477–1493 (2016). https://doi.org/10.1007/s10468-016-9628-1
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DOI: https://doi.org/10.1007/s10468-016-9628-1