On the Jordan block structure of a product of long and short root elements in irreducible representations of algebraic groups of type \(B_r\)

DOI10.1007/s10958-016-3110-9zbMath1358.20041OpenAlexW2534432169MaRDI QIDQ503752

T. S. Busel

Publication date: 23 January 2017

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-016-3110-9

zbMATH Keywords

highest weightsJordan blocks\(p\)-restricted irreducible representationsalgebraic groups of type \(B_r\)product of root elements

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05)

Cites Work

• Irreducible modules and parabolic subgroups
• On the Jordan block structure of images of some unipotent elements in modular irreducible representations of the classical algebraic groups.
• Lectures on Chevalley Groups
• Mod p Reducibility of Unramified Representations of Finite Groups of Lie Type
• The minimal polynomials of unipotent elements in irreducible representations of the classical groups in odd characteristic
• RESTRICTIONS OF REPRESENTATIONS OF ALGEBRAIC GROUPS OF TYPESE_nANDF₄TO NATURALLY EMBEDDEDA₁-SUBGROUPS AND THE BEHAVIOR OF ROOT ELEMENTS
• Jordan block sizes of unipotent elements in exceptional algebraic groups
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