Lie Groups

DOI10.1007/978-3-030-61824-7zbMath1466.22001OpenAlexW4233506240MaRDI QIDQ5139362

Luiz A. B. San Martin

Publication date: 8 December 2020

Full work available at URL: https://doi.org/10.1007/978-3-030-61824-7

zbMATH Keywords

Lie groupsexponential mappingLie algebrasvector fieldstransformation groupstopological groupsinvariant structureshomogeneous spaces of Lie groups

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Semisimple Lie groups and their representations (22E46) Lie algebras of Lie groups (22E60) Nilpotent and solvable Lie groups (22E25) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Compact groups (22C05) Solvable, nilpotent (super)algebras (17B30) Simple, semisimple, reductive (super)algebras (17B20) Root systems (17B22) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to topological groups (22-01)

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Controllability and semigroups of invariant control systems on \(\mathrm{Sl}(n, \mathbb{H})\) ⋮ Orbit equivalence of linear systems on manifolds and semigroup actions on homogeneous spaces

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