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Linear algebra meets Lie algebra: the Kostant-Wallach theory

2008/09/07 by Noam Shomron, Beresford Ν. Parlett, Shomron, Noam +1
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #FOS: Mathematics #Rings and Algebras (math.RA) #Symplectic Geometry (math.SG)

paper · pdf · doi:10.48550/arxiv.0809.1204

openalex publication_date 2008/09/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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