234047
20181203024926.0
1433-5883
10.1515/jgth-2017-0019
doi
000418567900001
ISI
ARTICLE
Irreducible representations of simple algebraic groups in which a unipotent element is represented by a matrix with a single non-trivial Jordan block
Berlin
2018
Walter De Gruyter Gmbh
2018
20
Journal Articles
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].
Testerman, Donna M.
Ecole Polytech Fed Lausanne, Stn 8, CH-1015 Lausanne, Switzerland
133751
243571
Zalesski, Alexandre E.
1-20
1
Journal Of Group Theory
21
GR-TES
252563
U12576
oai:infoscience.tind.io:234047
article
SB
133751
EPFL-ARTICLE-234047
EPFL
PUBLISHED
REVIEWED
ARTICLE