In algebra, an alternating polynomial is a polynomial such that if one switches any two of the variables, the polynomial changes sign:
Equivalently, if one permutes the variables, the polynomial changes in value by the sign of the permutation:
More generally, a polynomial is said to be alternating in if it changes sign if one switches any two of the, leaving the fixed.
Read more about Alternating Polynomial: Relation To Symmetric Polynomials, Vandermonde Polynomial, Representation Theory, Unstable, Characteristic Classes, See Also