2021
DOI: 10.1070/sm9381
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Manifolds of isospectral arrow matrices

Abstract: An arrow matrix is a matrix with zeros outside the main diagonal, the first row and the first column. We consider the space of Hermitian arrow -matrices with fixed simple spectrum . We prove that this space is a smooth -manifold with a locally standard torus act… Show more

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Cited by 1 publication
(1 citation statement)
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“…Note, however, that while H h are symplectic submanifolds of the full complex flag variety F l n , the restriction of the symplectic form from Herm(Λ) to M h is degenerate (see [AB1], [AB2]; it follows from the fact that their moment polytopes are not convex).…”
Section: Regular Hessenberg Varietiesmentioning
confidence: 99%
“…Note, however, that while H h are symplectic submanifolds of the full complex flag variety F l n , the restriction of the symplectic form from Herm(Λ) to M h is degenerate (see [AB1], [AB2]; it follows from the fact that their moment polytopes are not convex).…”
Section: Regular Hessenberg Varietiesmentioning
confidence: 99%