The skew-hyperbolic motion group of the quaternion plane

DOI10.1007/BF01318236zbMath0885.51014MaRDI QIDQ1358625

Markus Johannes Stroppel

Publication date: 20 April 1998

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178773

zbMATH Keywords

8-dimensional stable planeskew-hyperbolic motion groupskew-hyperbolic polarity

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Incidence structures embeddable into projective geometries (51A45) Topological geometries on manifolds (51H20) Geometry of classical groups (51N30)

Related Items

Actions of almost simple groups on compact eight-dimensional projective planes are classical, almost

Cites Work

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• Quaternion Hermitian planes
• The structure of a unitary factor group
• Groups acting on the 4-sphere
• Actions of SO(3) on 4-dimensional stable planes
• Equivariant embeddings of low dimensional symmetric planes
• Planar groups of automorphisms of stable planes
• Reconstruction of incidence geometries from groups of automorphisms
• Dimensions of compact transformation groups
• Quasi-perspectivities in stable planes
• Actions of almost simple groups on eight-dimensional stable planes
• Actions of almost simple groups on compact eight-dimensional projective planes are classical, almost
• Tabellen zu den einfachen Lie Gruppen und ihren Darstellungen
• Dimension der Bahnen lokal kompakter Gruppen
• On some types of topological groups
• Topology and dimension of stable planes: On a conjecture of H. Freudenthal.
• Compact groups of automorphisms of stable planes
• On the Structure of Unitary Groups
• Hermitian quadratic forms in a quasi-field