On the Restrictions of Modular Irreducible Representations of Algebraic Groups of Type A n to Naturally Embedded Subgroups of Type A 2

DOI10.1515/JGTH.2005.8.1.43zbMath1103.20042OpenAlexW2057621978MaRDI QIDQ4652672

A. A. Osinovskaya

Publication date: 28 February 2005

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgth.2005.8.1.43

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 (7)

The restrictions of representations of the special linear group to subsystem subgroups of type \(A_2\) ⋮ On the Jordan block structure of images of some unipotent elements in modular irreducible representations of the classical algebraic groups. ⋮ Restrictions of modules over classical groups to subgroups of type \(A_2\) in characteristic 2. ⋮ Regular unipotent elements from subsystem subgroups of type \(A_{2}\) in representations of the special linear groups ⋮ RESTRICTIONS OF REPRESENTATIONS OF ALGEBRAIC GROUPS OF TYPESE_nANDF₄TO NATURALLY EMBEDDEDA₁-SUBGROUPS AND THE BEHAVIOR OF ROOT ELEMENTS ⋮ Regular unipotent elements from subsystem subgroups of rank 2 in modular representations of classical groups. ⋮ ON CENTRALISERS AND NORMALISERS FOR GROUPS

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