class_docstr: Class for Lie groups.
  
  In this class, point_type ('vector' or 'matrix') will be used to describe
  the format of the points on the Lie group.
  If point_type is 'vector', the format of the inputs is
  [..., dimension], where dimension is the dimension of the Lie group.
  If point_type is 'matrix' the format of the inputs is
  [..., n, n] where n is the parameter of GL(n) e.g. the amount of rows
  and columns of the matrix.
  
  Parameters
  ----------
  dim : int
      Dimension of the Lie group.
  lie_algebra : MatrixLieAlgebra
      Lie algebra for matrix groups.
      Optional, default: None.
  
  Attributes
  ----------
  lie_algebra : MatrixLieAlgebra or None
      Tangent space at the identity.
docstr: Perform function composition corresponding to the Lie group.
  
  Multiply the elements `point_a` and `point_b`.
  
  Parameters
  ----------
  point_a : array-like, shape=[..., {dim, [n, n]}]
      Left factor in the product.
  point_b : array-like, shape=[..., {dim, [n, n]}]
      Right factor in the product.
  
  Returns
  -------
  composed : array-like, shape=[..., {dim, [n, n]}]
      Product of point_a and point_b along the first dimension.
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code: def compose(self, point_a, point_b):
      """Perform function composition corresponding to the Lie group.
  
      Multiply the elements `point_a` and `point_b`.
  
      Parameters
      ----------
      point_a : array-like, shape=[..., {dim, [n, n]}]
          Left factor in the product.
      point_b : array-like, shape=[..., {dim, [n, n]}]
          Right factor in the product.
  
      Returns
      -------
      composed : array-like, shape=[..., {dim, [n, n]}]
          Product of point_a and point_b along the first dimension.
      """
      raise NotImplementedError(
          "The Lie group composition is not implemented."
      )
  
imports: import abc
  import geomstats.backend
  from geomstats.geometry.invariant_metric import InvariantMetric
  from geomstats.geometry.manifold import Manifold
  from geomstats.geometry.matrices import Matrices
label_desc: Use image node_id 4 for calling the LieGroup obj's underlying member method code with example usage: obj.compose(point_a, point_b) without return types