Stabilizers of Subspaces under Similitudes of the Klein Quadric, and Automorphisms of Heisenberg Algebras

Abstract

We determine the groups of automorphisms and their orbits for nilpotent Lie algebras of class 2 and small dimension, over arbitrary fields (including the characteristic 2 case).

References in corpus (1)

• Problems of classifying associative or Lie algebras and triples of symmetric or skew-symmetric matrices are wild

Cited by in corpus (2)

• Clifford Parallelisms and External Planes to the Klein quadric
• Hodge operators and groups of isometries of diagonalizable symmetric bilinear forms in characteristic two