English

A note on the regularity of matrices with uniform polynomial entries

Representation Theory 2020-01-15 v2

Abstract

In this text we study the regularity of matrices with special polynomial entries. Barring some mild conditions we show that these matrices are regular if a natural limit size is not exceeded. The proof draws connections to generalized Vandermonde matrices and Schur polynomials that are discussed in detail.

Keywords

Cite

@article{arxiv.1712.07482,
  title  = {A note on the regularity of matrices with uniform polynomial entries},
  author = {Frank Klinker and Christoph Reineke},
  journal= {arXiv preprint arXiv:1712.07482},
  year   = {2020}
}