Double centralizers of unipotent elements in simple algebraic groups of type \(E_7\) and \(E_8\).

DOI10.1016/J.JPAA.2014.05.027zbMath1306.20052OpenAlexW2055955948MaRDI QIDQ479294

Iulian I. Simion

Publication date: 5 December 2014

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2014.05.027

zbMATH Keywords

connected componentsdouble centralizersexceptional groupsunipotent elementssimple algebraic groupsbad characteristic

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Exceptional groups (20G41)

Related Items (1)

Defining \(R\) and \(G(R)\)

Uses Software

• GAP
• SageMath

Cites Work

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• The conjugate classes of unipotent elements of the Chevalley groups \(E_ 7\) and \(E_ 8\).
• Component groups of unipotent centralizers in good characteristic
• Unipotent centralizers in algebraic groups.
• Double centralizers of unipotent elements in simple algebraic groups of type \(G_2\), \(F_4\) and \(E_6\).
• Witt groups and unipotent elements in algebraic groups
• Unipotent Overgroups in Simple Algebraic Groups
• Centres of centralizers of unipotent elements in simple algebraic groups
• Jordan block sizes of unipotent elements in exceptional algebraic groups
• Linear algebraic groups.

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