Article ID Journal Published Year Pages File Type
4602254 Linear Algebra and its Applications 2009 23 Pages PDF
Abstract

In two languages, Linear Algebra and Lie Algebra, we describe the results of Kostant and Wallach on the fibre of matrices with prescribed eigenvalues of all leading principal submatrices. In addition, we present a brief introduction to basic notions in Algebraic Geometry, Integrable Systems, and Lie Algebra aimed at specialists in Linear Algebra. The Lie Algebra description lets us indicate the significance of the Kostant–Wallach results based on their parameterization of square complex matrices.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory