The minimal polynomials of unipotent elements in irreducible representations of the special linear group (Q1270662)

This is a survey of a series of the author's works on the minimal polynomials of unipotent elements in irreducible representations. The minimal polynomials of images of unipotent elements in irreducible rational representations of special linear groups over an algebraically closed field of characteristic \(p>2\) are found. In particular, she shows that the degree of such a polynomial is equal to the order of an element provided that the highest weight of a representation is in some sense large enough with respect to \(p\).