𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Lie algebras of unbounded derivations

✍ Scribed by Frederick M Goodman; Palle E.T Jorgensen


Publisher
Elsevier Science
Year
1983
Tongue
English
Weight
838 KB
Volume
52
Category
Article
ISSN
0022-1236

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Unbounded Derivations in AT Algebras
✍ A Kishimoto πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 503 KB

Let A be a simple unital AT algebra of real rank zero such that it has a unique tracial state { and K 1 (A) is neither 0 nor Z. For each . # Hom(K 1 (A), R) with dense range in R we construct a closed derivation $ in A which generates a oneparameter automorphism group : of A such that {($(u) u\*)=2?

Generalized Derivations of Lie Algebras
✍ George F. Leger; Eugene M. Luks πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 258 KB

166 leger and luks some applications of the main results to the study of functions f ∈ Hom L L such that f β€’ Β΅ or Β΅ β€’ f ∧ I L defines a Lie multiplication.

Lie triple derivations on nest algebras
✍ Fangyan Lu πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 102 KB

## Abstract Let __Ξ΄__ be a Lie triple derivation from a nest algebra π’œ into an π’œβ€bimodule ℳ︁. We show that if ℳ︁ is a weak\* closed operator algebra containing π’œ then there are an element __S__ ∈ ℳ︁ and a linear functional __f__ on π’œ such that __Ξ΄__ (__A__) = __SA__ – __AS__ + __f__ (__A__)__I__ fo