Stabilizers of subspaces under similitudes of the Klein quadric, and automorphisms of Heisenberg algebras

DOI10.1016/j.laa.2012.03.018zbMath1300.17009arXiv1012.0502OpenAlexW2127342311MaRDI QIDQ432734

Michael Gulde, Markus Johannes Stroppel

Publication date: 4 July 2012

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.0502

zbMATH Keywords

automorphismHeisenberg algebraorbitnilpotent Lie algebraKlein quadricquaternion algebraGrassmann spacequadratic field extension

Mathematics Subject Classification ID

Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Nilpotent and solvable Lie groups (22E25) Solvable, nilpotent (super)algebras (17B30) Polar geometry, symplectic spaces, orthogonal spaces (51A50)

Related Items

Heisenberg groups over composition algebras, Polarities and planar collineations of Moufang planes, Unnamed Item, Clifford parallelisms and external planes to the Klein quadric, Heisenberg groups, semifields, and translation planes

Cites Work

• A system of invariants for some groups of class 2 with commutator subgroup of rank two
• Two-graphs and doubly transitive groups
• On quaternion skew fields
• Groups that are almost homogeneous
• Polarities and planar collineations of Moufang planes
• Automorphisms of Verardi groups: small upper triangular matrices over rings.
• Problems of classifying associative or Lie algebras and triples of symmetric or skew-symmetric matrices are wild
• Unitals over composition algebras
• Homogeneous symplectic maps and almost homogeneous Heisenberg groups
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