Realizations of involutive automorphisms \(\sigma\) and \(G^{\sigma}\) of exceptional linear Lie groups G. I: \(G=G_ 2\), \(F_ 4\) and \(E_ 6\)
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Publication:809190
DOI10.21099/TKBJM/1496161328zbMath0732.22002OpenAlexW2499005443WikidataQ115233580 ScholiaQ115233580MaRDI QIDQ809190
Publication date: 1990
Published in: Tsukuba Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.21099/tkbjm/1496161328
Exceptional (super)algebras (17B25) Automorphism groups of locally compact groups (22D45) General properties and structure of complex Lie groups (22E10)
Related Items (12)
Isomorphism classes of \(k\)-involutions of algebraic groups of type \(\mathrm{E}_6\) ⋮ Unnamed Item ⋮ Classification of para-real forms of absolutely simple para-Hermitian symmetric spaces ⋮ Computation of weighted Bergman inner products on bounded symmetric domains and restriction to subgroups ⋮ The fixed point set of the inverse involution on a Lie group ⋮ Galois \(E_6\)-bundles over a hyperelliptic algebraic curve ⋮ Totally geodesic submanifolds of the exceptional Riemannian symmetric spaces of rank 2 ⋮ The intersection of fixed point subgroups by involutive automorphisms of compact exceptional Lie groups ⋮ Timelike minimal surfaces via loop groups ⋮ Fixed points of principal E 6 -bundles over a compact algebraic curve ⋮ \(F_4\) and PSp\((8,\mathbb{C})\)-Higgs pairs understood as fixed points of the moduli space of \(E_6\)-Higgs bundles over a compact Riemann surface ⋮ Isomorphy classes of k-involutions of G2
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