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...
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | JOUR |
| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00243795_v263_n1-3_p49_Boasso |
| Aporte de: |
| id |
todo:paper_00243795_v263_n1-3_p49_Boasso |
|---|---|
| record_format |
dspace |
| spelling |
todo:paper_00243795_v263_n1-3_p49_Boasso2023-10-03T14:34:44Z Joint spectra and nilpotent Lie algebras of linear transformations Boasso, E. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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. |
| format |
JOUR |
| author |
Boasso, E. |
| spellingShingle |
Boasso, E. Joint spectra and nilpotent Lie algebras of linear transformations |
| author_facet |
Boasso, E. |
| author_sort |
Boasso, E. |
| 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 |
| url |
http://hdl.handle.net/20.500.12110/paper_00243795_v263_n1-3_p49_Boasso |
| work_keys_str_mv |
AT boassoe jointspectraandnilpotentliealgebrasoflineartransformations |
| _version_ |
1807324584928608256 |