On the joint spectral radius of a nilpotent Lie algebra of matrices

For a complex nilpotent finite-dimensional Lie algebra of matrices, and a Jordan-Hölder basis of it, we prove a spectral radius formula which extends a well-known result for commuting matrices.

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Detalles Bibliográficos
Autor principal: Boasso, E.
Formato: JOUR
Materias:
Joint spectral radius
Nilpotent Lie algebras
Taylor spectrum
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00393223_v132_n1_p15_Boasso
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_00393223_v132_n1_p15_Boasso
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spelling todo:paper_00393223_v132_n1_p15_Boasso2023-10-03T14:49:43Z On the joint spectral radius of a nilpotent Lie algebra of matrices Boasso, E. Joint spectral radius Nilpotent Lie algebras Taylor spectrum For a complex nilpotent finite-dimensional Lie algebra of matrices, and a Jordan-Hölder basis of it, we prove a spectral radius formula which extends a well-known result for commuting matrices. Fil:Boasso, E. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00393223_v132_n1_p15_Boasso
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Joint spectral radius
Nilpotent Lie algebras
Taylor spectrum
spellingShingle Joint spectral radius
Nilpotent Lie algebras
Taylor spectrum
Boasso, E.
On the joint spectral radius of a nilpotent Lie algebra of matrices
topic_facet Joint spectral radius
Nilpotent Lie algebras
Taylor spectrum
description For a complex nilpotent finite-dimensional Lie algebra of matrices, and a Jordan-Hölder basis of it, we prove a spectral radius formula which extends a well-known result for commuting matrices.
format JOUR
author Boasso, E.
author_facet Boasso, E.
author_sort Boasso, E.
title On the joint spectral radius of a nilpotent Lie algebra of matrices
title_short On the joint spectral radius of a nilpotent Lie algebra of matrices
title_full On the joint spectral radius of a nilpotent Lie algebra of matrices
title_fullStr On the joint spectral radius of a nilpotent Lie algebra of matrices
title_full_unstemmed On the joint spectral radius of a nilpotent Lie algebra of matrices
title_sort on the joint spectral radius of a nilpotent lie algebra of matrices
url http://hdl.handle.net/20.500.12110/paper_00393223_v132_n1_p15_Boasso
work_keys_str_mv AT boassoe onthejointspectralradiusofanilpotentliealgebraofmatrices
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