An E11 invariant gauge fixing

We consider the nonlinear realisation of the semi-direct product of Ell and its vector representation which leads to a space time with tangent group that is the Cartan involution invariant subalgebra of E-11. We give an alternative derivation of the invariant tangent space metric that this space-time possesses and compute this metric at low levels in eleven, five and four dimensions. We show that one can gauge fix the nonlinear realisation in an E-11 invariant manner.