Description
Inspired by the power of algebraic expansions to reveal hidden structures in physical theories, we explore the role of infinite semigroup expansions in the context of gravitational theories, focusing on the derivation of Maxwellian gravity and its relation to the cosmological constant. By systematically extending the symmetry structure of AdS, we unveil a natural path leading from Poincaré symmetry to Maxwellian gravity, incorporating cosmological corrections in a controlled manner. This approach provides a structured framework to recover Maxwellian gravity as the subleading term in the expansion of AdS gravity in both 3 and 4 dimensions. Additionally, we discuss the implications of this formalism in the context of Chern-Simons gravity and its potential connection to post-Newtonian and post-Minkowskian corrections.