On Kaplansky’s sixth conjecture
Dai, Li1 ; Dong, Jingcheng1
1 Nanjing Agricultural University, NANJING, JIANGSU, CHINA
Rendiconti del Seminario Matematico della Università di Padova, Tome 135 (2016), pp. 1-20.

About 39 years ago, Kaplansky conjectured that the dimension of a semisimple Hopf algebra over an algebraically closed eld of characteristic zero is divisible by the dimensions of its simple modules. Although it still remains open, some partial answers to this conjecture play an important role in classifying semisimple Hopf algebras. This paper focuses on the recent development of Kaplansky’s sixth conjecture and its applications in classifying semisimple Hopf algebras.

DOI : 10.4171/RSMUP/135-1
Classification : 16, 18
Mots-clés : Kaplansky’s sixth conjecture, semisimple Hopf algebra, fusion category, classification
Dai, Li 1 ; Dong, Jingcheng 1

1 Nanjing Agricultural University, NANJING, JIANGSU, CHINA 
@article{RSMUP_2016__135__1_0,
     author = {Dai, Li and Dong, Jingcheng},
     title = {On {Kaplansky{\textquoteright}s} sixth conjecture},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {1--20},
     publisher = {European Mathematical Society Publishing House},
     address = {Zuerich, Switzerland},
     volume = {135},
     year = {2016},
     doi = {10.4171/RSMUP/135-1},
     url = {http://archive.numdam.org/articles/10.4171/RSMUP/135-1/}
}
TY  - JOUR
AU  - Dai, Li
AU  - Dong, Jingcheng
TI  - On Kaplansky’s sixth conjecture
JO  - Rendiconti del Seminario Matematico della Università di Padova
PY  - 2016
SP  - 1
EP  - 20
VL  - 135
PB  - European Mathematical Society Publishing House
PP  - Zuerich, Switzerland
UR  - http://archive.numdam.org/articles/10.4171/RSMUP/135-1/
DO  - 10.4171/RSMUP/135-1
ID  - RSMUP_2016__135__1_0
ER  - 
%0 Journal Article
%A Dai, Li
%A Dong, Jingcheng
%T On Kaplansky’s sixth conjecture
%J Rendiconti del Seminario Matematico della Università di Padova
%D 2016
%P 1-20
%V 135
%I European Mathematical Society Publishing House
%C Zuerich, Switzerland
%U http://archive.numdam.org/articles/10.4171/RSMUP/135-1/
%R 10.4171/RSMUP/135-1
%F RSMUP_2016__135__1_0
Dai, Li; Dong, Jingcheng. On Kaplansky’s sixth conjecture. Rendiconti del Seminario Matematico della Università di Padova, Tome 135 (2016), pp. 1-20. doi : 10.4171/RSMUP/135-1. http://archive.numdam.org/articles/10.4171/RSMUP/135-1/

Cité par Sources :