Lie algebra: An algebraic structure that captures the infinitesimal aspects of continuous groups, defined by a bilinear, antisymmetric bracket satisfying the Jacobi identity.

Iwasawa Algebra: A completed group algebra associated with a p-adic Lie group, providing a framework to study non-commutative localisation and valuation theory.

Williamson is honored 'for his work on the representation theory of Lie algebras and algebraic groups [which includes] proofs and reproofs of some longstanding conjectures as well as spectacular ...