Toeplitz minors and specializations of skew Schur polynomials
Combinatorics
2020-02-11 v3 Functional Analysis
Abstract
We express minors of Toeplitz matrices of finite and large dimension in terms of symmetric functions. Comparing the resulting expressions with the inverses of some Toeplitz matrices, we obtain explicit formulas for a Selberg-Morris integral and for specializations of certain skew Schur polynomials.
Keywords
Cite
@article{arxiv.1706.02574,
title = {Toeplitz minors and specializations of skew Schur polynomials},
author = {David García-García and Miguel Tierz},
journal= {arXiv preprint arXiv:1706.02574},
year = {2020}
}
Comments
v2: Added new results on specializations of skew Schur polynomials, abstract and title modified accordingly and references added; v3: final, published version; 18 pages