Orbits of invariant subspaces of algebraic linear operators
Let E be a vector space over a field K, and A an algebraic K-linear operator on E. We describe the orbits under the action of the commutant of A and of the group of the invertible elements of the commutant of A on the lattice of A-invariant subspaces.
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| Published in: | Linear algebra and its applications Vol. 225; pp. 13 - 22 |
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| Main Authors: | , |
| Format: | Journal Article |
| Language: | English |
| Published: |
Elsevier Inc
01.08.1995
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| ISSN: | 0024-3795, 1873-1856 |
| Online Access: | Get full text |
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| Summary: | Let
E be a vector space over a field
K, and
A an algebraic
K-linear operator on
E. We describe the orbits under the action of the commutant of
A and of the group of the invertible elements of the commutant of
A on the lattice of
A-invariant subspaces. |
|---|---|
| ISSN: | 0024-3795 1873-1856 |
| DOI: | 10.1016/0024-3795(93)00302-G |