Antisymmetric

{{Wiktionary}}

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 {{nowrap|1=A^T = −A}})
• Skew-symmetric bilinear form is a bilinear form B such that {{nowrap|1=B(x, y) = −B(y, x)}} for all x and y.
• Antisymmetric tensor in matrices and index subsets.
• "antisymmetric function" – odd function