GAP code

Accompanying GAP code to the paper On simple 15-dimensional Lie algebras in characteristic 2.

skryabin.gap    defines the 15-dimensional simple Skryabin algebra
eick.gap defines some simple Lie algebras of characteristic 2 from the Eick paper
SandwichSubalgebra.gap computes the sandwich subalgebra of a Lie algebra
tori.gap routines to determine tori in a restricted Lie algebra
meataxe.gap wrappers for Meataxe
human-readable.gap display elements of a vector space by their names
tori-skryabin.gap determines toral elements of the Skryabin algebra, their centralizers, tori of maximal dimension, whether they form a Cartan subalgebra, and whether the corresponding root space decompostions are thin

Compute the dimension of the sandwich subalgebras of Lie algebras in question: 
Read ("SandwichSubalgebra.gap");
Read ("eick.gap");
Read ("skryabin.gap");
Dimension (SandwichSubalgebra (SkryabinAlgebra (0, 0, GF(2))));
Dimension (SandwichSubalgebra (Eick7));
Dimension (SandwichSubalgebra (Eick8));

Created: Sun Dec 27 2020
Last modified: Fri Nov 22 2024 05:08:14 CET