Linear algebra meets Lie algebra: the Kostant-Wallach theory
Parlett, Beresford N.
- Publisher: Elsevier BV
Linear Algebra and its Applications,
Mathematics - Symplectic Geometry | Geometry and Topology | Mathematics - Rings and Algebras | Numerical Analysis | Algebra and Number Theory | Discrete Mathematics and Combinatorics
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 Geometr...