Abstract:
A skew-symmetric function $F$ in several variables is said to be decomposable if it can be represented as a determinant $\det(f_i(x_j))$ where $f_i$ are univariate functions. We give a criterion of the decomposability in terms of a Plücker-type identity imposed on the function $F$.
Key words and phrases:Skew-symmetric function, determinant, decomposable, Plücker relation.