Matching simple modules of condensed algebras
Felix Noeske
Abstract: Let A be a finite dimensional algebra over a finite field F.
Condensing an A-module V with two different idempotents e and
e' leads to the problem that to compare the composition series
of Ve and Ve', we need to match the composition factors of both
modules. In other words, given a composition factor S of Ve, we
have to find a composition factor S' of Ve' such that there exists
a composition factor  of V with e  S and
e' S', or prove that no such S' exists. In this
note, we present a computationally tractable solution to this problem.
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