@article{Testerman:234047,
title = {Irreducible representations of simple algebraic groups in which a unipotent element is represented by a matrix with a single non-trivial Jordan block},
author = {Testerman, Donna M. and Zalesski, Alexandre E.},
publisher = {Walter De Gruyter Gmbh},
journal = {Journal Of Group Theory},
address = {Berlin},
number = {1},
volume = {21},
pages = {20. 1-20},
year = {2018},
abstract = {Let G be a simply connected simple linear algebraic group of exceptional Lie type over an algebraically closed field F of characteristic p >= 0, and let u is an element of G be a non-identity unipotent element. Let phi be a non-trivial irreducible representation of G. Then the Jordan normal form of phi(u) contains at most one non-trivial block if and only if G is of type G(2), u is a regular unipotent element and dim phi <= 7. Note that the irreducible representations of the simple classical algebraic groups in which a non-trivial unipotent element is represented by a matrix whose Jordan form has a single non-trivial block were determined by I. D. Suprunenko [21].},
url = {http://infoscience.epfl.ch/record/234047},
doi = {10.1515/jgth-2017-0019},
}