2024/08/12 by Maiti, Soumadeep
Mathematics · #Advanced Topics in Algebra #FOS: Physical sciences #Mathematical Physics (math-ph)
paper · pdf · doi:10.48550/arxiv.2408.06456
openalex publication_date 2024/08/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper presents an in-depth mathematical investigation into the intersection of two advanced Lie algebraic structures: the extended Schrödinger-Virasoro Lie algebra (ESVLA) and the Symplectic Novikov Lie algebra (SNLA). By rigorously analyzing their derivations, central extensions, and automorphism groups, we seek to uncover potential synergies and applications linking these distinct algebraic frameworks. The exploration includes detailed proofs, derivations, and calculations, providing new insights into the representation theory of Lie algebras with potential applications in conformal field theory and symplectic geometry.