Journal of Generalized Lie Theory and Applications

Department of Mathematics, University of London, London, UK

Publications

• Mini Review   
  Advancements in Nonlinear Lie Theory and its Implications for Algebraic Structures
  Author(s): Chiotellis Andreia*
  
  Nonlinear Lie theory is an area of mathematics that explores the extension of Lie algebras and Lie groups into nonlinear contexts, offering profound implications for various algebraic structures. Traditionally, Lie theory has been a cornerstone in understanding continuous symmetries through linear transformations, particularly in physics and geometry. However, the evolution of nonlinear Lie theory expands these ideas to more complex systems where linearity is no longer a given, leading to new insights and applications across diverse mathematical fields. At its core, Lie theory is concerned with the study of Lie groups, which are groups that also have the structure of a differentiable manifold, and Lie algebras, which are the tangent space at the identity of these groups, equipped with a bilinear operation known as the Lie bracket. Lie groups provide a natural framework for analyzing c.. Read More»
  DOI: 10.37421/1736-4337.2024.18.354

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