Geodesic
On the algebra generated by three commuting matrices: combinatorial cases
Matthew Satriano1 ; Ron Cherny1 ; Yohan Song1
1University of Waterloo
The electronic journal of combinatorics, Tome 31 (2024) no. 4

Voir la notice de l'article provenant de la source The Electronic Journal of Combinatorics website

Zbl DOI arXiv
Gerstenhaber proved in 1961 that the unital algebra generated by a pair of commuting $d \times d$ matrices over a field has dimension at most $d$. It is an open problem whether the analogous statement is true for triples of matrices which pairwise commute. We answer this question for special classes of triples of matrices arising from combinatorial data.
DOI : 10.37236/12909
Classification : 05E40, 15A27, 15A30, 15A21, 13E15, 15A45, 05B20
Mots-clés : Gerstenhaber problem, generating vectors

Matthew Satriano  1   ; Ron Cherny  1   ; Yohan Song  1

1 University of Waterloo 
Matthew Satriano; Ron Cherny; Yohan Song. On the algebra generated by three commuting matrices: combinatorial cases. The electronic journal of combinatorics, Tome 31 (2024) no. 4. doi: 10.37236/12909
@article{10_37236_12909,
     author = {Matthew Satriano and Ron Cherny and Yohan Song},
     title = {On the algebra generated by three commuting matrices: combinatorial cases},
     journal = {The electronic journal of combinatorics},
     year = {2024},
     volume = {31},
     number = {4},
     doi = {10.37236/12909},
     zbl = {1556.05177},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/12909/}
}
TY  - JOUR
AU  - Matthew Satriano
AU  - Ron Cherny
AU  - Yohan Song
TI  - On the algebra generated by three commuting matrices: combinatorial cases
JO  - The electronic journal of combinatorics
PY  - 2024
VL  - 31
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.37236/12909/
DO  - 10.37236/12909
ID  - 10_37236_12909
ER  - 
%0 Journal Article
%A Matthew Satriano
%A Ron Cherny
%A Yohan Song
%T On the algebra generated by three commuting matrices: combinatorial cases
%J The electronic journal of combinatorics
%D 2024
%V 31
%N 4
%U http://geodesic.mathdoc.fr/articles/10.37236/12909/
%R 10.37236/12909
%F 10_37236_12909

Cité par Sources :