Picturing the lattice of invariant subspaces of a nilpotent complex matrix |
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Authors: | WE Longstaff |
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Institution: | Department of Mathematics The University of Western Australia Perth, Western Australia |
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Abstract: | Let Q be a nilpotent transformation acting on a finite-dimensional complex vector space. A method is given by which a diagrammatic representation of Lat Q, the lattice of invariant subspaces of Q, can be obtained. Basically the method consists of adding to the Hasse diagram of Hyperlat Q the finite lattice of hyperinvariant subspaces of Q in a specified way. Some applications are given. |
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