On the Variety of Invariant Subspaces of a Finite-Dimensional Linear Operator
From MaRDI portal
Publication:3331339
DOI10.2307/1999130zbMath0543.14032OpenAlexW4230449172MaRDI QIDQ3331339
Publication date: 1982
Full work available at URL: https://doi.org/10.2307/1999130
Geometric invariant theory (14L24) Grassmannians, Schubert varieties, flag manifolds (14M15) Synthetic treatment of fundamental manifolds in projective geometries (Grassmannians, Veronesians and their generalizations) (51M35)
Related Items
Simultaneous versal deformations of endomorphisms and invariant subspaces ⋮ Very stable Higgs bundles, equivariant multiplicity and mirror symmetry ⋮ Non-symmetric matrix Riccati equations ⋮ On stability of invariant subspaces of commuting matrices ⋮ Weak stability of factorizations of operator pencils ⋮ The biflag manifold and the fixed points of a unipotent transformation on the flag manifold ⋮ Enumerating submodules invariant under an endomorphism ⋮ On a conjecture of Pappas and Rapoport about the standard local model for \(\mathrm{GL}_d\) ⋮ Spaces of generators for matrix algebras with involution ⋮ Dimension of the orbit of marked subspaces. ⋮ Classification of isometries of spaces of constant curvature and invariant subspaces ⋮ On the periodic solutions of the Matrix Riccati equation ⋮ Versal deformations of invariant subspaces ⋮ Stratification and bundle structure of the set of conditioned invariant subspaces in the general case ⋮ Perturbed marked reduced forms of invariant subspaces ⋮ State canonical form for a class of uncontrollable linear systems ⋮ The topology of the set of conditioned invariant subspaces ⋮ Perturbations preserving conditioned invariant subspaces ⋮ Differentiable structure of the set of controllable \((A,B)^t\)-invariant subspaces ⋮ Miniversal deformations of observable marked matrices ⋮ A cellular decomposition of the manifold of observable conditioned invariant subspaces
Cites Work
