Infinite Length Modules. Some Examples as Introduction

The aim of this introduction is to outline the general setting and to exhibit some examples, in order to show interesting features of infinite length modules, but also to point out the relevance of these features in representation theory. We try to present examples as explicit as possible, in contrast to the quite common attitude of being satisfied with the mere existence, an attitude which indicates the desire to rate such features as unpleasant and to avoid them. In contrast, the phenomena we deal with should be considered as typical and as exciting.

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