THE RESTRICTIONS OF REPRESENTATIONS OF ALGEBRAIC GROUPS OF TYPES Bn AND Dn TO SUBGROUPS OF TYPE A2

DOI10.1142/S0219498805001344zbMath1104.20046MaRDI QIDQ3370720

A. A. Osinovskaya

Publication date: 8 February 2006

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

irreducible representationsbranching rulesroot subgroupsfundamental weightssimple simply connected algebraic groupsrestrictions of representationssimple highest weight modulesmodular \(p\)-restricted representations

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05)

Related Items

Restrictions of modules over classical groups to subgroups of type \(A_2\) in characteristic 2. ⋮ Regular unipotent elements from subsystem subgroups of rank 2 in modular representations of classical groups.

Cites Work

• Irreducible modules and parabolic subgroups
• On Jordan blocks of elements of order \(p\) in irreducible representations of classical groups with \(p\)-large highest weights
• WEIGHTS OF INFINITESIMALLY IRREDUCIBLE REPRESENTATIONS OF CHEVALLEY GROUPS OVER A FIELD OF PRIME CHARACTERISTIC
• Restrictions of Irreducible Representations of Classical Algebraic Groups to RootA₁-Subgroups
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