2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/183774The Quantum Hall Effects in all even dimensions are uniformly constructed. Contrary to some recent accounts in the literature, the existence of Quantum Hall Effects does not {\it crucially} depend on the existence of division algebras. For QHE on flat space of even dimensions, both the Hamiltonians and the ground state wave-functions for a single particle are explicitly described. This explicit description immediately tells us that QHE on a higher even dimensional flat space shares the common features such as incompressibility with QHE on plane.11 pages, the final published versionCondensed MatterHigh Energy Physics - TheoryMathematical Physicstext