Realizing orbit categories as stable module categories: a complete classification
Journal article, Peer reviewed
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Date
2017Metadata
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- Institutt for lærerutdanning [3604]
- Institutt for matematiske fag [2451]
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Original version
10.1007/s13366-017-0350-xAbstract
We classify all triangulated orbit categories of path-algebras of Dynkin diagrams that are triangle equivalent to a stable module category of a representation-finite self-injective standard algebra. For each triangulated orbit category T we give an explicit description of a representation-finite self-injective standard algebra with stable module category triangle equivalent to T .