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Invertible linear transformations and the Lie algebras

โœ Scribed by Yufeng Zhang; Honwah Tam; Fukui Guo


Book ID
108095765
Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
253 KB
Volume
13
Category
Article
ISSN
1007-5704

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Joint spectra and nilpotent lie algebras
โœ Enrico Boasso ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 537 KB

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), ,rs, k(L, E), and (r=, k(L , E). We compute them, and we prove that they all coincide with the set of weights of L for E. We al