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arXiv · 1504.04827

Classification of two-term tilting complexes over Brauer graph algebras

Takahide Adachi·Takuma Aihara·Aaron Chan
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Abstract

Using only the combinatorics of its defining ribbon graph, we classify the two-term tilting complexes, as well as their indecomposable summands, of a Brauer graph algebra. As an application, we determine precisely the class of Brauer graph algebras which are tilting-discrete.

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BibTeXRIS

Takahide Adachi, Takuma Aihara, Aaron Chan. 2018-01-04. Classification of two-term tilting complexes over Brauer graph algebras. https://doi.org/10.1007/s00209-017-2006-9

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