Corrigendum to Minimum polynomials and lower bounds for eigenvalue multiplicities of prime-power order elements in representations of classical groups [J. Algebra 243 (2001) 228¿263]

This note is an addendum to the paper “Minimum polynomials and lower bounds for eigenvalue multiplicities of prime-power order elements in representations of classical groups” [J. Algebra 243 (2001) 228–263], providing a correct full statement and proof of Theorem 1.1 in that paper, and thus yielding a complete classification of the triples (G, g, theta), where G is a quasi-simple classical group, g is a semisimple element of G of prime-power order belonging to a parabolic subgroup, and theta is a representation of G in cross-characteristic, in which the degree of the minimum polynomial of g is ‘exceptional’. This result can be viewed as an analogue of the celebrated Hall–Higman theorem in the context of quasi-simple classical groups.