We classify the uniserial infinitesimal unipotent commutative groups of finite representation type over algebraically closed fields. As an application we provide detailed information on the structure of those infinitesimal groups whose distribution algebras have a representation-finite principal block.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm89-2-3,
author = {Rolf Farnsteiner and Gerhard R\"ohrle and Detlef Voigt},
title = {Infinitesimal unipotent group schemes of complexity 1},
journal = {Colloquium Mathematicae},
volume = {89},
year = {2001},
pages = {179-192},
zbl = {0989.16013},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm89-2-3}
}
Rolf Farnsteiner; Gerhard Röhrle; Detlef Voigt. Infinitesimal unipotent group schemes of complexity 1. Colloquium Mathematicae, Tome 89 (2001) pp. 179-192. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm89-2-3/