Minimal polynomials of the images of the unipotent elements of non-prime order in the irreducible representations of an algebraic group of type \(F_4\) (Q6642727)

The paper examines the minimal polynomials of unipotent elements of non-prime order in irreducible representations of algebraic groups of type \( F_4 \) over fields with characteristic \( 3 \) and \( 7 \). This research concludes the study of the late author on the minimal polynomials for unipotent elements in these representations, where she employs sophisticated techniques to explore representations of the \( F_4 \) group, drawing on results from subsystem subgroups and the structure of unipotent conjugacy classes.\N\NProfessor Irina Dmitrievna Suprunenko, a highly distinguished scholar renowned for her expertise in the properties of unipotent elements in the representations of algebraic groups, made significant contributions to the understanding of minimal polynomials in this field. Sadly, she passed away on August 10, 2022, leaving behind a remarkable legacy in mathematical research.