A structured visual guide to the major mathematical areas and their relationships.
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This area studies algebraic systems in which the usual associative law may fail, such as Lie algebras, Jordan algebras, and alternative algebras. These structures are important in geometry, theoretical physics, and the study of symmetries.
This subtopic studies general nonassociative rings and algebras, developing foundational concepts and structural tools for systems where associativity is relaxed.
This subtopic studies Lie algebras and Lie superalgebras, including structure, representations, and links to geometry, differential equations, and physics.
This subtopic studies Jordan structures, including Jordan algebras and triple systems, with attention to structure theory and applications in analysis and geometry.
This subtopic studies other nonassociative structures, gathering alternative algebraic systems and methods that do not fit the standard Lie or Jordan frameworks.