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On Vandermonde determinants via $n$-determinants by Janjic, Milan is a scholarly article available to read on EtoBox.

What is On Vandermonde determinants via $n$-determinants about?

We use earlier defined notion of $n$- determinant to investigate sub-determinants of an extended Vandermonde matrix. Firstly, we demonstrate our method on a number of particular cases. Then we prove that all these results may be stated in terms of Schur's polynomials. In our main result, we prove that Schur polynomials are equal to minors of a fixed matrix, which entries are formed of elementary symmetric polynomials. Such a formula is known as the second Jaccobi-Trudi identity.

Author

Janjic, Milan

Published

2022

Language

EN