Representation Type of EI-Categories

Details Representation Type of EI-Categories Representation Type of EI-Categories

2011-04-12

arxiv.org/abs/1104.2339v1

Mathematics

Representation Theory

Scientific paper

EI-categories are a simultaneous generalisation of finite groups and finite quivers without oriented cycles. It is therefore a natural question to ask for a characterisation of finite representation type. For special classes of EI-categories a complete characterisation is obtained using quiver techniques. For EI-categories with two objects we present a necessary criterion for finite representation type. The complexity of this classification problem is illustrated by some examples.

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