A uniqueness property of {\tau} exceptional sequences
| Autor: | Hanson, Eric J., Thomas, Hugh |
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| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | Algebras and Representation Theory 27 (2024), 461-468 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/s10468-023-10226-w |
| Popis: | Recently, Buan and Marsh showed that if two complete $\tau$-exceptional sequences agree in all but at most one term, then they must agree everywhere, provided the algebra is $\tau$-tilting finite. They conjectured that the result holds without that assumption. We prove their conjecture. Along the way, we also show that the dimension vectors of the modules in a $\tau$-exceptional sequence are linearly independent. Comment: v2: journal accepted manuscript. 7 pages |
| Databáze: | arXiv |
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