Lie Algebras Graded by the Root System BC1 | Synapse
March 29, 2026Open Access
Lie Algebras Graded by the Root System BC1
Key Points
The study aims to classify Lie algebras related to the nonreduced root system BC1 and explore their structural properties.
Classification of Lie algebras graded by the BC1 root system
Analysis of central extensions
Investigation of derivations and invariant forms
Identified specific Lie algebras graded by BC1
Determined their central extensions
Characterized derivations and invariant forms associated with these algebras
Abstract
We classify the Lie algebras that are graded by the nonreduced root system BC 1 and determine their central extensions, derivations, and invariant forms.