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Dimension of the orbit of marked subspaces

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Compta Creus, AlbertMés informacióMés informacióMés informació
Ferrer Llop, JosepMés informacióMés informacióMés informació
Peña Carrera, MartaMés informacióMés informacióMés informació
Document typeArticle
Defense date2004
Rights accessOpen Access
All rights reserved. This work is protected by the corresponding intellectual and industrial property rights. Without prejudice to any existing legal exemptions, reproduction, distribution, public communication or transformation of this work are prohibited without permission of the copyright holder
Abstract
Given a nilpotent endomorphism, we consider the manifold of invariant subspaces having a fixed Segre characteristic. In [Linear Algebra Appl., 332–334 (2001) 569], the implicit form of a miniversal deformation of an invariant subspace with respect to the usual equivalence relation between subspaces is obtained. Here we obtain the explicit form of this deformation when the invariant subspace is marked, and we use it to calculate the dimension of the orbit and in particular to characterize the stable marked subspaces (those with open orbit).Moreover, we study the rank of the endomorphisms in the quotient space by the subspaces in the miniversal deformation of the giving subspace.
CitationCompta Creus, Albert; Ferrer Llop, Josep; Peña Carrera, Marta. "Dimension of the orbit of marked subspaces". Linear algebra and its applications, 2004, núm. 379, p. 239-248. 
URIhttp://hdl.handle.net/2117/888
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