Dimension of the orbit of marked subspaces. (English) Zbl 1040.15002
This paper studies the manifold of invariant subspaces of a given nilpotent endomorphism having fixed Segre characteristic. An explicit form of a miniversal deformation is obtained and used to calculate the dimension of the orbit and characterize stable marked subspaces.
Reviewer: Ki Hang Kim (Montgomery)
MSC:
| 15A03 | Vector spaces, linear dependence, rank, lineability |
| 15A18 | Eigenvalues, singular values, and eigenvectors |
| 37C45 | Dimension theory of smooth dynamical systems |
Keywords:
linear map; invariant subspaces; marked subspaces; miniversal deformation; stability; orbitReferences:
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