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