On the characteristic polynomial of sl(2,F)\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$\\mathfrak{sl}(2, \\mathbb {F})$$\\end{document}: a corollary that Muir missed

Abstract

In this note we show how conjectures and current problems on determinants and eigenvalues of highly structured tridiagonal matrices can be solved using very classical results.