The multiplicity problem for indecomposable decompositions of modules over domestic canonical algebras
Piotr Dowbor, Andrzej Mróz (2008)
Colloquium Mathematicae
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Given a module M over a domestic canonical algebra Λ and a classifying set X for the indecomposable Λ-modules, the problem of determining the vector such that is studied. A precise formula for , for any postprojective indecomposable module X, is computed in Theorem 2.3, and interrelations between various structures on the set of all postprojective roots are described in Theorem 2.4. It is proved in Theorem 2.2 that a general method of finding vectors m(M) presented by the authors...