class_docstr: Base class to represent the So2 group.
  
  The SO(2) is the group of all rotations about the origin of two-dimensional Euclidean space
  :math:`R^2` under the operation of composition.
  See more: https://en.wikipedia.org/wiki/Orthogonal_group#Special_orthogonal_group
  
  We internally represent the rotation by a complex number.
  
  Example:
      >>> real = torch.tensor([1.0])
      >>> imag = torch.tensor([2.0])
      >>> So2(torch.complex(real, imag))
      Parameter containing:
      tensor([1.+2.j], requires_grad=True)
docstr: Converts elements from lie algebra to vector space. Returns vector of shape :math:`(B,)`.
  
  Args:
      omega: 2x2-matrix representing lie algebra.
  
  Example:
      >>> v = torch.ones(3)
      >>> omega = So2.hat(v)
      >>> So2.vee(omega)
      tensor([1., 1., 1.])
docstr_tok: ["Converts","elements","from","lie","algebra","to","vector","space",".","Returns","vector","of","shape",":","math",":","`","(","B",",",")","`",".","Args",":","omega",":","2x2-matrix","representing","lie","algebra",".","Example",":",">",">",">","v","=","torch.ones","(","3",")",">",">",">","omega","=","So2.hat","(","v",")",">",">",">","So2.vee","(","omega",")","tensor","(","[","1.",",","1.",",","1",".","]",")"]
code: def vee(omega: Tensor) -> Tensor:
      """Converts elements from lie algebra to vector space. Returns vector of shape :math:`(B,)`.
  
      Args:
          omega: 2x2-matrix representing lie algebra.
  
      Example:
          >>> v = torch.ones(3)
          >>> omega = So2.hat(v)
          >>> So2.vee(omega)
          tensor([1., 1., 1.])
      """
      # TODO change to KORNIA_CHECK_SHAPE once there is multiple shape support
      check_so2_matrix_shape(omega)
      return omega[..., 0, 1]
  
imports: from __future__ import annotations
  from typing import Optional, overload
  from kornia.core import Device, Dtype, Module, Parameter, Tensor, complex, rand, stack, tensor, zeros_like
  from kornia.core.check import KORNIA_CHECK, KORNIA_CHECK_IS_TENSOR
  from kornia.geometry.liegroup._utils import check_so2_matrix, check_so2_matrix_shape, check_so2_t_shape, check_so2_theta_shape, check_so2_z_shape
  from kornia.geometry.vector import Vector2
label_desc: Use image node_id 11 for calling the So2 obj's underlying member method code with example usage: obj.vee(omega) and returns: omega