2-Local Derivations on Symmetrizable Kac-Moody Lie Algebras
We establish that every 2-local inner derivation on a symmetrizable Kac-Moody Lie algebra [Formula: see text] over the field [Formula: see text] is a derivation. In addition, we demonstrate that if [Formula: see text], where [Formula: see text] is the derived subalgebra of [Formula: see text], then [Formula: see text] admits a 2-local derivation which is not a derivation.
Authors
- Shushma Rani (ORCID: https://orcid.org/0000-0002-2683-0577)
- Niranjan Nehra (ORCID: https://orcid.org/0000-0002-7594-2436)
Institutions
- Indian Institute of Technology Ropar (IN)
- Government of Haryana (IN)
Publication Details
- Journal
- Algebra Colloquium
- Published
- 2026-05-13
- DOI
- https://doi.org/10.1142/s1005386726000209
- Primary Topic
- Algebraic structures and combinatorial models
- Type
- article
- Field-Weighted Citation Impact
- 0.00