Tag Archive for: symmetry

Groups, The Path from a Simple Concept to Mysterious Results

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Introduction The concept of a group is as simple as it gets: a set with a binary operation like addition and a couple of natural laws like the requirement…
lie group physics

When Lie Groups Became Physics

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Abstract We explain by simple examples (one-parameter Lie groups), partly in the original language, and along the historical papers of Sophus Lie, Abraham…
groupsandgeometry

Klein’s Erlangen Program: How Groups Define Geometry

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Felix Klein's Erlangen program defines a geometry as a set paired with a group of transformations that preserve "sameness" of figures on that set. Different…