Differential properties of spaces of symmetric real matrices

zbMath1440.53077arXiv1807.01113MaRDI QIDQ5116784

Donato Pertici, Alberto Dolcetti

Publication date: 18 August 2020

Full work available at URL: https://arxiv.org/abs/1807.01113

zbMATH Keywords

positive definite matricesisometriestrace metricrepresentations of Lie groupsinner and outer automorphismnon-singular symmetric matricessymmetric (semi-) Riemannian spaces

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Positive matrices and their generalizations; cones of matrices (15B48) Hermitian, skew-Hermitian, and related matrices (15B57) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Differential geometry of symmetric spaces (53C35) Linear algebraic groups over the reals, the complexes, the quaternions (20G20)

Related Items (2)

The full group of isometries of some compact Lie groups endowed with a bi-invariant metric ⋮ Elliptic isometries of the manifold of positive definite real matrices with the trace metric

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