Antisymmetric

In set theory, the adjective antisymmetric usually refers to an antisymmetric relation.

In linear algebra and theoretical physics, the adjective antisymmetric (or skew-symmetric) is used for matrices, tensors, and other objects that change sign if an appropriate operation (usually the exchange of two indices, which becomes the transposition of the matrix) is performed. See:

• antisymmetric matrix
• antisymmetric tensor