\(\tau_d\)-tilting for Nakayama Algebras
Note
This website is not recieving any updates. However, the content has been reused on a companion website of the paper, which can be found at https://endresr.github.io/Higher_Tau_Nakayama/ along with further updates.
This website was created for a poster session at the "Autumn school and Conference on New developments in representation theory of algebras" hostet by Okinawa Institute of Science and Technology (OIST), November 2024 (Conference website here).
Here you can find the pdf of the poster, as well as some extra resources.
- The poster is available as pdf here: Poster
- Basic information on \(\tau_d\)-rigid pairs in \(\Lambda(n,l)\) and an interactive AR-quiver to construct \(\tau_d\)-rigid pairs of \(\Lambda(n,l)\) is available here: Construct your own pair.
- Basic information of mutation of strongly maximal \(\tau_d\)-rigid pairs, examples and an interactive AR-quiver for you to mutate can be found here: Mutate pairs.
References
- Jenny August, Johanne Haugland, Karin M Jacobsen, Sondre Kvamme, Yann Palu, and Hipolito Treffinger. Higher torsion classes, \(\tau_d\)-tilting theory, and silting complexes, In preparation (2024+).
- Takahide Adachi, Osamu Iyama, and Idun Reiten. \(\tau\)-tilting theory, Compos. Math. 150 (2014), no.3, 415-452(en), doi:10.1112/S0010437X13007422, MR3187626
- Karin M. Jacobsen and Peter Jørgensen. Maximal \(\tau_d\)-rigid pairs, J. Algebra 546 (2020), 119–134, doi:10.1016/j.jalgebra.2019.10.046, MR4032280
- Luis Martínez and Octavio Mendoza. \(n\)-term silting complexes in \(\mathrm{K}^b(\operatorname{proj}(\Lambda))\), J. Algebra 622 (2023), 98–133, doi:10.1016/j.jalgebra.2023.01.017, MR4547875
- Endre S. Rundsveen and Laertis Vaso. \(\tau_d\)-tilting theory for Nakayama algebras, arXiv preprint arXiv:2410.19505 (2024),
- Panyue Zhou and Bin Zhu, Support τn-tilting pairs, J. Algebra 616 (2023), 193–211, doi:10.1016/j.jalgebra.2022.10.035, MR4512512