2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/207837We analyze the algebraic constraints of the generalized vielbein in SO(1,2) x SO(16) invariant d=11 supergravity, and show that the bosonic degrees of freedom of d=11 supergravity, which become the physical ones upon reduction to d=3, can be assembled into an E_8-valued vielbein already in eleven dimensions. A crucial role in the construction is played by the maximal nilpotent commuting subalgebra of E_8, of dimension 36, suggesting a partial unification of general coordinate and tensor gauge transformations.16 pages, LaTeX2eHigh Energy Physics - TheoryAn exceptional geometry for d=11 supergravity?text