Joint spectra and nilpotent Lie algebras of linear transformations

Given a complex nilpotent finite dimensional Lie algebra of linear transformations, L, in a complex finite dimensional vector space, E, we study the joint spectra Sp(L, E), σδ, k (L, E), and σπ, k(L, E). We compute them, and we prove that they all coincide with the set of weights of L for E. We also...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autor principal: Boasso, Enrique Carlos Raúl
Publicado: 1997
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00243795_v263_n1-3_p49_Boasso
http://hdl.handle.net/20.500.12110/paper_00243795_v263_n1-3_p49_Boasso
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_00243795_v263_n1-3_p49_Boasso
record_format dspace
spelling paper:paper_00243795_v263_n1-3_p49_Boasso2023-06-08T14:52:05Z Joint spectra and nilpotent Lie algebras of linear transformations Boasso, Enrique Carlos Raúl Given a complex nilpotent finite dimensional Lie algebra of linear transformations, L, in a complex finite dimensional vector space, E, we study the joint spectra Sp(L, E), σδ, k (L, E), and σπ, k(L, E). We compute them, and we prove that they all coincide with the set of weights of L for E. We also give a new interpretation of some basic module operations of the Lie algebra L in terms of the joint spectra. © 1997 Elsevier Science Inc. Fil:Boasso, E. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 1997 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00243795_v263_n1-3_p49_Boasso http://hdl.handle.net/20.500.12110/paper_00243795_v263_n1-3_p49_Boasso
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description Given a complex nilpotent finite dimensional Lie algebra of linear transformations, L, in a complex finite dimensional vector space, E, we study the joint spectra Sp(L, E), σδ, k (L, E), and σπ, k(L, E). We compute them, and we prove that they all coincide with the set of weights of L for E. We also give a new interpretation of some basic module operations of the Lie algebra L in terms of the joint spectra. © 1997 Elsevier Science Inc.
author Boasso, Enrique Carlos Raúl
spellingShingle Boasso, Enrique Carlos Raúl
Joint spectra and nilpotent Lie algebras of linear transformations
author_facet Boasso, Enrique Carlos Raúl
author_sort Boasso, Enrique Carlos Raúl
title Joint spectra and nilpotent Lie algebras of linear transformations
title_short Joint spectra and nilpotent Lie algebras of linear transformations
title_full Joint spectra and nilpotent Lie algebras of linear transformations
title_fullStr Joint spectra and nilpotent Lie algebras of linear transformations
title_full_unstemmed Joint spectra and nilpotent Lie algebras of linear transformations
title_sort joint spectra and nilpotent lie algebras of linear transformations
publishDate 1997
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00243795_v263_n1-3_p49_Boasso
http://hdl.handle.net/20.500.12110/paper_00243795_v263_n1-3_p49_Boasso
work_keys_str_mv AT boassoenriquecarlosraul jointspectraandnilpotentliealgebrasoflineartransformations
_version_ 1768545222215598080

Ejemplares similares