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advanced_tools:group_theory:lie_algebras [2018/04/08 12:13] jakobadmin [Abstract] |
advanced_tools:group_theory:lie_algebras [2018/04/08 13:00] jakobadmin [Intuitive] |
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- | The Lie algebras consist of infinitesimally small transformations and are used in physics to describe [[basic_tools:symmetry|symmetries]]. Since arbitrarily large continuous transformations can be built up from tiny ones, almost everything that is important about continuous transformations is encoded in the infinitesimal ones. | + | The Lie algebras consist of infinitesimally small transformations and are used in physics to describe [[basic_tools:symmetry|symmetries]]. Since arbitrarily large continuous transformations can be built up from tiny ones, almost everything that is important about continuous transformations is encoded in the infinitesimal ones. |
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+ | Formulated differently, Lie algebras describe infinitesimal symmetries. | ||