Symplectic matrices with predetermined left eigenvalues

DOI10.1016/j.laa.2009.08.015zbMath1191.15022arXiv0907.1529OpenAlexW1978497509MaRDI QIDQ1044613

María José Pereira-Sáez, Enrique Macias-Virgós

Publication date: 18 December 2009

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0907.1529

zbMATH Keywords

Lie groupsquaternionssymplectic matricesLusternik-Schnirelmann categoryleft eigenvalues

Mathematics Subject Classification ID

Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Eigenvalues, singular values, and eigenvectors (15A18) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Related Items (7)

Unnamed Item ⋮ Cayley transform on Stiefel manifolds ⋮ Rayleigh quotient and left eigenvalues of quaternionic matrices ⋮ Trace map, Cayley transform and LS category of Lie groups ⋮ An upper bound for the Lusternik–Schnirelmann category of the symplectic group ⋮ Relative singular value decomposition and applications to LS-category ⋮ The existence of left eigenvalues for quaternionic matrix

Cites Work

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• Geršgorin type theorems for quaternionic matrices
• Invitation to topological robotics
• On the Lusternik-Schnirelmann category of Lie groups
• Quaternionic Eigenvalues
• Left eigenvalues of 2 by 2 symplectic matrices
• The Lusternik-Schnirelmann category of 𝑆𝑝(3)
• On the Lusternik-Schnirelmann category of symmetric spaces of classical type
• On left eigenvalues of a quaternionic matrix

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