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Linear Algebra meets Lie Algebra: The Kostant–Wallach theory

✍ Scribed by Noam Shomron; Beresford N. Parlett

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
293 KB
Volume
431
Category
Article
ISSN
0024-3795

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✦ Synopsis

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.

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