GroupLieAlgebra — Mathlib

English

The restriction of sumEmpty to the inl part is the identity on M.

Русский

Ограничение sumEmpty к части inl есть тождество на M.

LaTeX

$$$[Sum]$$$

Lean4

/-- The Lie algebra of a Lie group, i.e., its tangent space at the identity. We use the word
`GroupLieAlgebra` instead of `LieAlgebra` as the latter is taken as a generic class. -/
@[to_additive /-- The Lie algebra of an additive Lie group, i.e., its tangent space at zero. We use
    the word `AddGroupLieAlgebra` instead of `LieAlgebra` as the latter is taken as a generic class. -/
    ]
abbrev GroupLieAlgebra : Type _ :=
  TangentSpace I (1 : G)

Похожие утверждения