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...
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| Formato: | JOUR |
| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00243795_v263_n1-3_p49_Boasso |
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| Sumario: | 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. |
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