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ISSN: 2277-1891

International Journal of Advance Innovations, Thoughts & Ideas
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  • Research Article   
  • Int J Adv Innovat Thoughts Ideas,

Mathematical Exploration of the Intersection Between Extended Schrodinger-Virasoro Lie Algebras and Symplectic Novikov Lie Algebras

Soumadeep Maiti*
Department of Chemistry, Mahatma Gandhi University, India
*Corresponding Author : Soumadeep Maiti, Department of Chemistry, Mahatma Gandhi University, India, Email: soumadeepmaiti21@gmail.com

Received Date: Aug 01, 2024 / Accepted Date: Aug 30, 2024 / Published Date: Aug 30, 2024

Abstract

This paper presents an in-depth mathematical investigation into the intersec- tion of two advanced Lie algebraic structures: the extended Schr¨odinger-Virasoro Lie algebra (ESVLA) and the Symplectic Novikov Lie algebra (SNLA). By rigor- ously 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.

Citation: Soumadeep M (2024) Mathematical Exploration of the Intersection Between Extended Schrodinger-Virasoro Lie Algebras and Symplectic Novikov Lie Algebras. Int J Adv Innovat Thoughts Ideas, 12: 281.

Copyright: © 2024 Soumadeep M. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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