Geodesic
LINEAR RELATIONS AND INTEGRABILITY FOR CLUSTER ALGEBRAS FROM AFFINE QUIVERS
Glasgow mathematical journal, Tome 63 (2021) no. 3, pp. 584-621

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

DOI

We consider frieze sequences corresponding to sequences of cluster mutations for affine D- and E-type quivers. We show that the cluster variables satisfy linear recurrences with periodic coefficients, which imply the constant coefficient relations found by Keller and Scherotzke. Viewing the frieze sequence as a discrete dynamical system, we reduce it to a symplectic map on a lower dimensional space and prove Liouville integrability of the latter. 
PALLISTER, JOE. LINEAR RELATIONS AND INTEGRABILITY FOR CLUSTER ALGEBRAS FROM AFFINE QUIVERS. Glasgow mathematical journal, Tome 63 (2021) no. 3, pp. 584-621. doi: 10.1017/S0017089520000397
@article{10_1017_S0017089520000397,
     author = {PALLISTER, JOE},
     title = {LINEAR {RELATIONS} {AND} {INTEGRABILITY} {FOR} {CLUSTER} {ALGEBRAS} {FROM} {AFFINE} {QUIVERS}},
     journal = {Glasgow mathematical journal},
     pages = {584--621},
     year = {2021},
     volume = {63},
     number = {3},
     doi = {10.1017/S0017089520000397},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089520000397/}
}
TY  - JOUR
AU  - PALLISTER, JOE
TI  - LINEAR RELATIONS AND INTEGRABILITY FOR CLUSTER ALGEBRAS FROM AFFINE QUIVERS
JO  - Glasgow mathematical journal
PY  - 2021
SP  - 584
EP  - 621
VL  - 63
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089520000397/
DO  - 10.1017/S0017089520000397
ID  - 10_1017_S0017089520000397
ER  - 
%0 Journal Article
%A PALLISTER, JOE
%T LINEAR RELATIONS AND INTEGRABILITY FOR CLUSTER ALGEBRAS FROM AFFINE QUIVERS
%J Glasgow mathematical journal
%D 2021
%P 584-621
%V 63
%N 3
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089520000397/
%R 10.1017/S0017089520000397
%F 10_1017_S0017089520000397

Cité par Sources :