Artículo
Boasso, E. "Joint spectra and nilpotent Lie algebras of linear transformations" (1997) Linear Algebra and Its Applications. 263(1-3):49-62
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Abstract:
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.
Registro:
| Documento: | Artículo |
| Título: | Joint spectra and nilpotent Lie algebras of linear transformations |
| Autor: | Boasso, E. |
| Filiación: | Departamento de Matemática, Fac. de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Pab. 1, (1428) Nuñez, Buenos Aires, Argentina |
| Año: | 1997 |
| Volumen: | 263 |
| Número: | 1-3 |
| Página de inicio: | 49 |
| Página de fin: | 62 |
| DOI: | http://dx.doi.org/10.1016/S0024-3795(96)00481-8 |
| Título revista: | Linear Algebra and Its Applications |
| Título revista abreviado: | Linear Algebra Its Appl |
| ISSN: | 00243795 |
| CODEN: | LAAPA |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00243795_v263_n1-3_p49_Boasso |
Referencias:
- Boasso, E., Duel properties and joint spectra for solvable Lie algebras of operators (1995) J. Operator Theory, 33 (1), pp. 105-116
- Boasso, E., Larotonda, A., A spectral theory for solvable Lie algebras of operators (1993) Pacific J. Math., 158 (1), pp. 15-22
- Bourbaki, N., (1960) Eléments de Mathématique, Groupes et Algebres de Lie, Algebres de Lie Frasc, 26
- Chò, M., Takaguchi, M., Joint spectra of matrices (1979) Sci. Rep. Hirosaki Univ., 26, pp. 15-19
- Jacobson, N., (1962) Lie Algebras, , Interscience
- McIntosh, A., Pryde, A., Ricker, W., Comparison of joint spectra for certain classes of commuting operators (1988) Studia Math., 88, pp. 23-36
- Ott, C., A note on a paper of E. Baosso and A. Larotonda Pacific J. Math., , to appear
- Slodkowski, Z., An infinite family of joint spectra (1973) Studia Math., 61, pp. 239-1235
- Taylor, J.L., A joint spectrum for several commuting operators (1970) Functional Anal., 6, pp. 172-191
Citas:
---------- APA ----------
(1997) . Joint spectra and nilpotent Lie algebras of linear transformations. Linear Algebra and Its Applications, 263(1-3), 49-62.http://dx.doi.org/10.1016/S0024-3795(96)00481-8
---------- CHICAGO ----------
Boasso, E. "Joint spectra and nilpotent Lie algebras of linear transformations" . Linear Algebra and Its Applications 263, no. 1-3 (1997) : 49-62.http://dx.doi.org/10.1016/S0024-3795(96)00481-8
---------- MLA ----------
Boasso, E. "Joint spectra and nilpotent Lie algebras of linear transformations" . Linear Algebra and Its Applications, vol. 263, no. 1-3, 1997, pp. 49-62.http://dx.doi.org/10.1016/S0024-3795(96)00481-8
---------- VANCOUVER ----------
Boasso, E. Joint spectra and nilpotent Lie algebras of linear transformations. Linear Algebra Its Appl. 1997;263(1-3):49-62.http://dx.doi.org/10.1016/S0024-3795(96)00481-8
