• Corpus ID: 119266225

$\tau$-exceptional sequences

@article{Buan2018tauexceptionalS,
  title={\$\tau\$-exceptional sequences},
  author={Aslak Bakke Buan and Bethany Rose Marsh},
  journal={arXiv: Representation Theory},
  year={2018}
}
We introduce the notions of $\tau$-exceptional and signed $\tau$-exceptional sequences for any finite dimensional algebra. We prove that for a fixed algebra of rank $n$, and for any positive integer $t \leq n$, there is a bijection between the set of such sequences of length $t$, and (basic) ordered support $\tau$-rigid objects with $t$ indecomposable direct summands. If the algebra is hereditary, our notions coincide with exceptional and signed exceptional sequences. The latter were recently… 
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3 Citations

3 Citations

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  • 2021
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