Antisymmetric
# Antisymmetric

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