Geodesic
A symmetry of silting quivers
Glasgow mathematical journal, Tome 65 (2023) no. 3, pp. 687-696

Voir la notice de l'article provenant de la source Cambridge

DOI

We investigate symmetry of the silting quiver of a given algebra which is induced by an anti-automorphism of the algebra. In particular, one shows that if there is a primitive idempotent fixed by the anti-automorphism, then the 2-silting quiver ($=$ the support $\tau$-tilting quiver) has a bisection. Consequently, in that case, we obtain that the cardinality of the 2-silting quiver is an even number (if it is finite).
DOI : 10.1017/S0017089523000204
Mots-clés : silting object, silting mutation, silting quiver, support τ-tilting module, support τ-tilting quiver, anti-automorphism 
Aihara, Takuma; Wang, Qi. A symmetry of silting quivers. Glasgow mathematical journal, Tome 65 (2023) no. 3, pp. 687-696. doi: 10.1017/S0017089523000204
@article{10_1017_S0017089523000204,
     author = {Aihara, Takuma and Wang, Qi},
     title = {A symmetry of silting quivers},
     journal = {Glasgow mathematical journal},
     pages = {687--696},
     year = {2023},
     volume = {65},
     number = {3},
     doi = {10.1017/S0017089523000204},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089523000204/}
}
TY  - JOUR
AU  - Aihara, Takuma
AU  - Wang, Qi
TI  - A symmetry of silting quivers
JO  - Glasgow mathematical journal
PY  - 2023
SP  - 687
EP  - 696
VL  - 65
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089523000204/
DO  - 10.1017/S0017089523000204
ID  - 10_1017_S0017089523000204
ER  - 
%0 Journal Article
%A Aihara, Takuma
%A Wang, Qi
%T A symmetry of silting quivers
%J Glasgow mathematical journal
%D 2023
%P 687-696
%V 65
%N 3
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089523000204/
%R 10.1017/S0017089523000204
%F 10_1017_S0017089523000204

Cité par Sources :