Modular representations of algebraic groups, restrictions ot subgroups, the behaviour of unipotent elements in representations, permutation groups

Main publications:

Osinovskaya A.A., “Restrictions of irreducible
representations of classical algebraic groups to root
$A_1$-subgroups”, Commun. in Algebra, 31:5 (2003), 2357–2379

Osinovskaya A.A., Suprunenko I.D., “On the Jordan block
structure of images of some unipotent elements in modular
irreducible representations of the classical algebraic groups”, J. Algebra, 273:2 (2004), 586–600

A.A. Baranov, A.A. Osinovskaya and I.D.
Suprunenko, “Modular representations of classical groups with small weight multiplicities”, Journal of Mathematical Sciences, 161:1 (2009), 163–175