A. A. Osinovskaya, “Restrictions of modules over classical groups to subgroups of type <nobr>$A_2$</nobr> in characteristic 2”, Zap. Nauchn. Sem. POMI, 2011, Volume 386,Pages <nobr>227

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Restrictions of modules over classical groups to subgroups of type $A_2$ in characteristic 2

A. A. Osinovskaya

Institute of Mathematics of the National Academy of Sciences of Belarus, Minsk, Belarus

Abstract: The restrictions of irreducible modules over classical groups to subsystem subgroups of type $A_2$ in characteristic 2 are studied. The composition factors (without their multiplicities) for restrictions of such modules with 2-restricted highest weights are found. Bibl. 7 titles.

Key words and phrases: algebraic groups, classical groups, representations, modules, restrictions to subgroups.

UDC: 512.554.32

Received: 19.11.2010