Isomorphy classes of k-involutions of G2

DOI10.1142/S021949881450039XzbMath1297.20047arXiv1211.1874WikidataQ57440767 ScholiaQ57440767MaRDI QIDQ2874703

John Hutchens

Publication date: 8 August 2014

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.1874

zbMATH Keywords

algebraic groupsinvolutionscomposition algebrasexceptional groupsgeneralized symmetric spaces

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Linear algebraic groups over arbitrary fields (20G15) Grassmannians, Schubert varieties, flag manifolds (14M15) Composition algebras (17A75) Exceptional groups (20G41)

Related Items (3)

Isomorphism classes of \(k\)-involutions of algebraic groups of type \(\mathrm{E}_6\) ⋮ Involutions of type \(\mathrm{G}_{2}\) over fields of characteristic two ⋮ On involutions of type \(\mathrm{O}(q,k)\) over a field of characteristic two

Cites Work

• Unnamed Item
• Composition algebras and their automorphisms
• Realizations of involutive automorphisms \(\sigma\) and \(G^{\sigma}\) of exceptional linear Lie groups G. I: \(G=G_ 2\), \(F_ 4\) and \(E_ 6\)
• Composition algebras over a field with a discrete valuation
• On the classification of \(k\)-involutions
• Involutions of \(\text{SL}(n,k)\), (\(n>2\)).
• Involutions in Chevalley groups over fields of even order
• CLASSIFICATION OF INVOLUTIONS OF SL(2, k)

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