Central Extensions of Root Graded Lie Algebras
Malihe Yousofzadeh
TL;DR
This paper investigates the structure of central extensions in Lie algebras that are graded by irreducible locally finite root systems, providing insights into their algebraic properties.
Contribution
It introduces a detailed analysis of central extensions specific to root graded Lie algebras, expanding understanding of their algebraic structure.
Findings
Characterization of central extensions for root graded Lie algebras
Identification of conditions for trivial and non-trivial extensions
Extension classification in terms of root system properties
Abstract
We study the central extensions of Lie algebras graded by an irreducible locally finite root system.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Advanced Algebra and Geometry