Antisymmetric or skew-symmetric may refer to:

  • Antisymmetry in linguistics
  • Antisymmetry in physics
  • Antisymmetric relation in mathematics
  • Skew-symmetric graph
  • Self-complementary graph

In mathematics, especially linear algebra, and in theoretical physics, the adjective antisymmetric (or skew-symmetric) is used for matrices, tensors, and other objects that change sign if an appropriate operation (e.g. matrix transposition) is performed. See:

  • Skew-symmetric matrix (a matrix A for which )
  • Skew-symmetric bilinear form is a bilinear form B such that for all x and y.
  • Antisymmetric tensor in matrices and index subsets.
  • "antisymmetric function" – odd function

See also

  • Symmetry in mathematics