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Lattice isomorphisms of Lie algebras

✍ Scribed by Towers, D. A.


Book ID
115442696
Publisher
Cambridge University Press
Year
1981
Tongue
English
Weight
920 KB
Volume
89
Category
Article
ISSN
0305-0041

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Lie Isomorphisms of Nest Algebras
✍ Laurent W Marcoux; Ahmed R Sourour πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 149 KB

In this paper we characterize linear maps . between two nest algebras T(N) and T(M) which satisfy the property that .(AB&BA)=. ## (A) .(B)&.(B) .(A) for all A, B # T(N). In particular, it is shown that such isomorphisms only exist if N is similar to M or M = .