منابع مشابه
Indecomposable Representations of Semisimple Lie Groups
Let G be a semisimple connected linear Lie group, w, a finite-dimensional irreducible representation of G, tr2 an infinite-dimensional irreducible representation of G which has a nontrivial extension with w,. We study the category of all Harish-Chandra modules whose composition factors are equivalent to w, and Introduction. In a series of articles [5]-[8], I. M. Gelfand, Graev and Ponomarev cla...
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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 representation...
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1. Introduction LET 0 be a finite group. If p is a prime which, divides the order of G, there exists in general an infinite number of indecomposable representations of 0 over a field of characteristic p. We are concerned here with the in-decomposable representations of a group G which is an extension of a 2?-nilpotent"f group by a cyclic group of order prime to p. We reduce the study of these r...
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ژورنال
عنوان ژورنال: Illinois Journal of Mathematics
سال: 1961
ISSN: 0019-2082
DOI: 10.1215/ijm/1255629829