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Lattice isomorphisms of Lie algebras and algebraic groups

✍ Scribed by Helmut Völklein


Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
1012 KB
Volume
107
Category
Article
ISSN
0021-8693

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Lie Isomorphisms of Nest Algebras
✍ Laurent W Marcoux; Ahmed R Sourour 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 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 = .

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