AUTOMORPHISMS OF SIMPLE LIE ALGEBRAS G(n) OVER GF(2)

摘要

We define certain algebras G(n) over a commutative ring K based on the combinatorics of n dots. If K is a field of characteristic 2, then G(n) decomposes as G(n)circle times(F2) K where G (n) belongs the infinite sequence of simple Lie algebras over the field F-2 that was introduced by Kaplansky in 1982. We show that Aut ((n)) is isomorphic to {+/- 1} x n for n > 4.