Centers of Centralizers in Reductive Algebraic Groups

DOI10.1080/00927879108824323zbMath0747.20022OpenAlexW104056270MaRDI QIDQ3985527

John F. jun. Kurtzke

Publication date: 27 June 1992

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879108824323

zbMATH Keywords

Lie algebracentralizerrankreductive algebraic groupidentity componentdimension of the center

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Lie algebras of linear algebraic groups (17B45)

Related Items (5)

Invariants of finite and infinite groups generated by reflections ⋮ Parabolic contractions of semisimple Lie algebras and their invariants ⋮ Global Cayley maps and conjugacy class sizes of maximal unipotent subgroups of finite simple groups of Lie type. ⋮ Classification of admissible nilpotent orbits in simple real Lie algebras 𝐸₆₍₆₎ and 𝐸₆₍₋₂₆₎ ⋮ Special transverse slices and their enveloping algebras

Cites Work

• Unnamed Item
• Representations and maximal subgroups of finite groups of Lie type
• Über die unipotenten Klassen reduktiver Gruppen. II
• Centralizers of irregular elements in reductive algebraic groups
• Über die unipotenten Klassen reduktiver Gruppen
• Regular elements of semisimple algebraic groups
• Conjugacy classes in Lie algebras and algebraic groups
• Some arithmetical results on semi-simple Lie algebras
• Centralizers of unipotent elements in semisimple algebraic groups
• Semisimple subalgebras of semisimple Lie algebras
• Classes of unipotent elements in simple algebraic groups. I
• Classes of unipotent elements in simple algebraic groups. II
• The centralizer of a regular unipotent element in a semisimple algebraic group
• Introduction to Lie Algebras and Representation Theory

This page was built for publication: Centers of Centralizers in Reductive Algebraic Groups