TY - EJOUR
DO - 10.1515/jgth-2017-0019
AB - 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].
T1 - Irreducible representations of simple algebraic groups in which a unipotent element is represented by a matrix with a single non-trivial Jordan block
IS - 1
DA - 2018
AU - Testerman, Donna M.
AU - Zalesski, Alexandre E.
JF - Journal Of Group Theory
SP - 1-20
VL - 21
EP - 1-20
PB - Walter De Gruyter Gmbh
PP - Berlin
ID - 234047
SN - 1433-5883
ER -