Linear algebra meets Lie algebra: the Kostant-Wallach theory

Details Linear algebra meets Lie algebra: the Kostant-Wallach theory Linear algebra meets Lie algebra: the Kostant-Wallach theory

2008-09-07

arxiv.org/abs/0809.1204v2

Mathematics

Symplectic Geometry

27 pages, LaTeX; abstract added

Scientific paper

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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