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Computing the cardinality of the lattice of characteristic subspaces

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Computing the cardinality of the lattice of characteristic subspaces

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Mingueza, D.; Montoro, M.; Roca Martinez, A. (2017). Computing the cardinality of the lattice of characteristic subspaces. Linear Algebra and its Applications. 514:82-104. doi:10.1016/j.laa.2016.10.031

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/107350

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Title: Computing the cardinality of the lattice of characteristic subspaces
Author:
UPV Unit: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Issued date:
Abstract:
[EN] We obtain the cardinality of the lattice of characteristic sub-spaces of a nilpotent Jordan matrix when the underlying field is GF(2), the only field where the lattices of characteristic and hyperinvariant subspaces ...[+]
Subjects: We obtain the cardinality of the lattice of characteristic sub-spaces of a nilpotent Jordan matrix when the underlying field is GF(2), the only field where the lattices of characteristic and hyperinvariant subspaces can be different. If the characteristic polynomial of the matrix splits in the field, the general case can be reduced to the nilpotent Jordan case. Results are complex and highly combinatorial, and include the design of an algorithm.
Copyrigths: Cerrado
Source:
Linear Algebra and its Applications. (issn: 0024-3795 )
DOI: 10.1016/j.laa.2016.10.031
Publisher:
Elsevier
Publisher version: https://doi.org/10.1016/j.laa.2016.10.031
Thanks:
The second author is partially supported by grant MTM2015-65361-P MINECO/FEDER, UE. The third author is partially supported by grants MTM2013-40960-P MINECO and MTM2015-68805-REDT.
Type: Artículo

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