Local Derivations on a Block-type Lie Algebra

2026/07/25 by Shiyu Wu, Hengyun Yang
Mathematics · #math.RA

paper · pdf

Abstract

We study local derivations on a Block-type Lie algebra \(\mathcal B\). Using the structure of the derivation algebra of \(\mathcal B\) and a series of normalizations and coefficient comparisons, we prove that every local derivation on \(\mathcal B\) is a derivation.

Citations

• Local derivations and local automorphisms on the super Virasoro algebras
• Local and 2-local derivations of Locally simple Lie algebras
• local derivations on Witt algebras
• Local superderivations on Cartan type Lie superalgebras
• Local derivations on Solvable Lie algebras
• Local derivations on finite-dimensional Lie algebras

Related

• Local derivations on Solvable Lie algebras
• Local derivations on finite-dimensional Lie algebras
• Local and 2-local derivations of Locally simple Lie algebras
• Local Lie n-derivations on certain algebras
• Local derivations and automorphisms of nilpotent Lie algebra