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Picturing the lattice of invariant subspaces of a nilpotent complex matrix
Authors:WE Longstaff
Institution:Department of Mathematics The University of Western Australia Perth, Western Australia
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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