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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Autor principal: Boasso, Enrique Carlos Raúl
Publicado: 1999
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Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00393223_v132_n1_p15_Boasso
http://hdl.handle.net/20.500.12110/paper_00393223_v132_n1_p15_Boasso
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spelling paper:paper_00393223_v132_n1_p15_Boasso2023-06-08T15:03:30Z On the joint spectral radius of a nilpotent Lie algebra of matrices Boasso, Enrique Carlos Raúl 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. 1999 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00393223_v132_n1_p15_Boasso 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, Enrique Carlos Raúl
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.
author Boasso, Enrique Carlos Raúl
author_facet Boasso, Enrique Carlos Raúl
author_sort Boasso, Enrique Carlos Raúl
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
publishDate 1999
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00393223_v132_n1_p15_Boasso
http://hdl.handle.net/20.500.12110/paper_00393223_v132_n1_p15_Boasso
work_keys_str_mv AT boassoenriquecarlosraul onthejointspectralradiusofanilpotentliealgebraofmatrices
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