An explicit construction of simple-minded systems over self-injective Nakayama algebras. (English) Zbl 1490.16037
Summary: Recently, we obtained a new characterization for an orthogonal system to be a simple-minded system in the stable module category of any representation-finite self-injective algebra. In this paper, we apply this result to give an explicit construction of simple-minded systems over self-injective Nakayama algebras.
MSC:
| 16G20 | Representations of quivers and partially ordered sets |
| 05E16 | Combinatorial aspects of groups and algebras |
Keywords:
non-crossing partition; self-injective Nakayama algebra; sums of long-type; sums of short-typeReferences:
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