Remark that we extend the Manifolds.jl notation.

docs/src/notation.md

@@ -1,6 +1,6 @@
-# Notation on Lie Groups
+# Notation on Lie groups
 
-For most of the notation used throughout this package, we follow [HilgertNeeb:2012](@cite).
+In this package,the notation introduced in [Manifolds.jl Notation](https://juliamanifolds.github.io/Manifolds.jl/latest/misc/notation.html) is used with the following additional parts.
 
 | Symbol | Description | Also used | Comment |
 |:--:|:--------------- |:--:|:-- |
@@ -11,8 +11,6 @@ For most of the notation used throughout this package, we follow [HilgertNeeb:20
 | ``\mathfrak g`` | a Lie algebra | |
 | ``\mathcal{G}`` | a (Lie) group | |
 | ``λ_g: \mathcal G → \mathcal G`` | the left group operation map ``λ_g(h) = g∘h`` | |
-| ``\mathcal M`` | a manifold | ``\mathcal M_1, \mathcal M_2,\ldots,\mathcal N`` | |
-| ``ρ_g: \mathcal G → \mathcal G`` | the right group operation map ``ρ_g(h) = h∘g`` | |
+ ``ρ_g: \mathcal G → \mathcal G`` | the right group operation map ``ρ_g(h) = h∘g`` | |
 | ``σ: \mathcal G × \mathcal M`` | a left group action | ``σ_g(p)`` to emphasize a fixed group element |
 | ``τ: \mathcal M × \mathcal G`` | a right group action | ``σ_\mathrm{R}`` | ``τ_g(p)`` to emphasize a fixed group element |
-| ``T_p \mathcal M`` | the tangent space at ``p`` | | |