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A remark on the domain of an unbounded derivation of a C∗-algebra

✍ Scribed by Robert T. Powers


Publisher
Elsevier Science
Year
1975
Tongue
English
Weight
432 KB
Volume
18
Category
Article
ISSN
0022-1236

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On the derived algebra of a centraliser
✍ Oksana Yakimova 📂 Article 📅 2010 🏛 Elsevier Science 🌐 French ⚖ 145 KB

Let g be a classical Lie algebra, e ∈ g a nilpotent element and g e ⊂ g the centraliser of e. We prove that g e = [g e , g e ] if and only if e is rigid. It is also shown that if e ∈ [g e , g e ], then the nilpotent radical of g e coincides with [g(1) e , g e ], where g(1) e ⊂ g e is an eigenspace o