1 results
Biderivations of Lie algebras
- Part of
-
- Journal:
- Canadian Mathematical Bulletin / Volume 68 / Issue 2 / June 2025
- Published online by Cambridge University Press:
- 08 January 2025, pp. 440-450
- Print publication:
- June 2025
-
- Article
- Export citation
-
In this paper, we first introduce the concept of symmetric biderivation radicals and characteristic subalgebras of Lie algebras and study their properties. Based on these results, we precisely determine biderivations of some Lie algebras including finite-dimensional simple Lie algebras over arbitrary fields of characteristic not
$2$ or 
$3$, and the Witt algebras 
$\mathcal {W}^+_n$ over fields of characteristic 
$0$. As an application, commutative post-Lie algebra structure on the aforementioned Lie algebras is shown to be trivial.
