Geodesic
Representations of a class of positively based algebras
Czechoslovak Mathematical Journal, Tome 73 (2023) no. 3, pp. 811-838

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

We investigate the representation theory of the positively based algebra $A_{m,d}$, which is a generalization of the noncommutative Green algebra of weak Hopf algebra corresponding to the generalized Taft algebra. It turns out that $A_{m,d}$ is of finite representative type if $d\leq 4$, of tame type if $d=5$, and of wild type if $d\ge 6.$ In the case when $d\leq 4$, all indecomposable representations of $A_{m,d}$ are constructed. Furthermore, their right cell representations as well as left cell representations of $A_{m,d}$ are described.
DOI : 10.21136/CMJ.2023.0254-22
Classification : 16D80, 16G60
Keywords: positively based algebra; indecomposable module; cell module 
@article{10_21136_CMJ_2023_0254_22,
     author = {Lin, Shiyu and Yang, Shilin},
     title = {Representations of a class of positively based algebras},
     journal = {Czechoslovak Mathematical Journal},
     pages = {811--838},
     publisher = {mathdoc},
     volume = {73},
     number = {3},
     year = {2023},
     doi = {10.21136/CMJ.2023.0254-22},
     mrnumber = {4632859},
     zbl = {07729539},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2023.0254-22/}
}
TY  - JOUR
AU  - Lin, Shiyu
AU  - Yang, Shilin
TI  - Representations of a class of positively based algebras
JO  - Czechoslovak Mathematical Journal
PY  - 2023
SP  - 811
EP  - 838
VL  - 73
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2023.0254-22/
DO  - 10.21136/CMJ.2023.0254-22
LA  - en
ID  - 10_21136_CMJ_2023_0254_22
ER  - 
%0 Journal Article
%A Lin, Shiyu
%A Yang, Shilin
%T Representations of a class of positively based algebras
%J Czechoslovak Mathematical Journal
%D 2023
%P 811-838
%V 73
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2023.0254-22/
%R 10.21136/CMJ.2023.0254-22
%G en
%F 10_21136_CMJ_2023_0254_22
Lin, Shiyu; Yang, Shilin. Representations of a class of positively based algebras. Czechoslovak Mathematical Journal, Tome 73 (2023) no. 3, pp. 811-838. doi: 10.21136/CMJ.2023.0254-22

Cité par Sources :