CLASSIFICATION OF INVOLUTIONS OF SL(2, k)

DOI10.1081/AGB-120006486zbMath1001.20044MaRDI QIDQ4531141

Ling Wu, Aloysius G. Helminck

Publication date: 4 August 2002

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

zbMATH Keywords

conjugacy classesinvolutionsautomorphismsfixed point groupsspecial linear groups

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Linear algebraic groups over arbitrary fields (20G15) Automorphisms of infinite groups (20E36)

Related Items (10)

On Orbit Decompositions for Symmetric k-Varieties ⋮ Isomorphism classes of \(k\)-involutions of algebraic groups of type \(\mathrm{E}_6\) ⋮ k-Involutions of SL(n,k) over fields of characteristic 2 ⋮ On generalized Cartan subspaces ⋮ Involutions of \(\text{SL}(n,k)\), (\(n>2\)). ⋮ On the Classification of Orbits of Symmetric Subgroups Acting on Flag Varieties of SL(2,k) ⋮ Classifying the orbits of the generalized symmetric spaces for SL2(Fq) ⋮ On involutions of type \(\mathrm{O}(q,k)\) over a field of characteristic two ⋮ Involutions in triangular groups ⋮ Isomorphy classes of k-involutions of G₂

Cites Work

• Linear algebraic groups
• On the classification of \(k\)-involutions
• Algebraic groups with a commuting pair of involutions and semisimple symmetric spaces
• On rationality properties of involutions of reductive groups
• Groupes reductifs
• Complements à l'article: Groupes reductifs
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