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arXiv · 1104.2339

Representation Type of EI-Categories

Karsten Dietrich
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Abstract

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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Karsten Dietrich. 2011-04-12. Representation Type of EI-Categories. https://arxiv.org/abs/1104.2339

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