Nonlinear anti-commuting maps of strictly triangular matrix Lie algebras
Nonlinear anti-commuting maps of strictly triangular matrix Lie algebras
Let N(F) be the Lie algebra consisting of all strictly upper triangular (n + 1) × (n + 1) matrices over a field F .A map ϕ on N(F) is called to be anti-commuting if [ϕ(x),y] = -[x,ϕ(y)] for any x,y ∈ N(F) .We show that for n 4 , …