Geodesic
Mutating signed $\tau$-exceptional sequences
Glasgow mathematical journal, Tome 65 (2023) no. 3, pp. 716-729

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DOI

We establish some properties of $\tau$-exceptional sequences for finite-dimensional algebras. In an earlier paper, we established a bijection between the set of ordered support $\tau$-tilting modules and the set of complete signed $\tau$-exceptional sequences. We describe the action of the symmetric group on the latter induced by its natural action on the former. Similarly, we describe the effect on a $\tau$-exceptional sequence obtained by mutating the corresponding ordered support $\tau$-tilting module via a construction of Adachi-Iyama-Reiten.
DOI : 10.1017/S0017089523000241
Mots-clés : Mutation, exceptional sequences, tau-tilting 
Buan, Aslak Bakke; Marsh, Bethany Rose. Mutating signed $\tau$-exceptional sequences. Glasgow mathematical journal, Tome 65 (2023) no. 3, pp. 716-729. doi: 10.1017/S0017089523000241
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     title = {Mutating signed $\tau$-exceptional sequences},
     journal = {Glasgow mathematical journal},
     pages = {716--729},
     year = {2023},
     volume = {65},
     number = {3},
     doi = {10.1017/S0017089523000241},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089523000241/}
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