Indecomposable Representations and the Loop-space Operation1
نویسنده
چکیده
For a certain class of algebras, including group-algebras of finite groups, we shall introduce a permutation in the set of isomorphismclasses of nonprojective indecomposable modules. This permutation is in essence given by the loop-space functor [2]. It is to be hoped that the study of this permutation may give some insight into the difficult problem of classifying indecomposable representations. In any case we append here some examples, showing that the orbits may be either finite or infinite, and that even in simple cases there may be infinitely many of them.
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تاریخ انتشار 2010