center — Mathlib

English

The largest trivial submodule is functorial with respect to restrictions along LieModuleHom and LieModuleEquiv.

Русский

Максимальный тривиальный подмодуль ведётся функториально по ограничениям и эквивалентностям Ли-модуля.

LaTeX

$$$\\text{maxTrivSubmodule}$ is functorial w.r.t. LieModuleHom and LieModuleEquiv.$$

Lean4

/-- The center of a Lie algebra is the set of elements that commute with everything. It can
be viewed as the maximal trivial submodule of the Lie algebra as a Lie module over itself via the
adjoint representation. -/
abbrev center : LieIdeal R L :=
  LieModule.maxTrivSubmodule R L L

Похожие утверждения