ThmDex – An index of mathematical definitions, results, and conjectures.

Result R5521 on D6191: Standard permutation sign

Signs of length-2 standard permutations

Formulation 0

Let $(1, 2), (2, 1) \in S_2$ each be a D6186: Standard permutation.

Then

(1)	\begin{equation} \text{Sign}(1, 2) = 1 \end{equation}
(2)	\begin{equation} \text{Sign}(2, 1) = -1 \end{equation}