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advanced_tools:group_theory:lie_algebras

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advanced_tools:group_theory:lie_algebras [2018/04/08 12:13]
jakobadmin [Concrete]
advanced_tools:group_theory:lie_algebras [2018/04/08 13:00]
jakobadmin [Intuitive]
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 <tabbox Intuitive> ​ <tabbox Intuitive> ​
  
-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
  
  
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 <tabbox Abstract> ​ <tabbox Abstract> ​
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 +  * [[http://​jakobschwichtenberg.com/​lie-algebra-able-describe-group/​|How is a Lie Algebra able to describe a Group?​]] ​
 +  * [[http://​www.wetsavannaanimals.net/​wordpress/​what-information-about-a-lie-group-is-not-encoded-in-its-lie-algebra/​|What Information About a Lie Group is Not Encoded in its Lie Algebra?]]
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 +----
  
 {{ :​advanced_tools:​group_theory:​adjoint.png?​nolink |}} {{ :​advanced_tools:​group_theory:​adjoint.png?​nolink |}}
advanced_tools/group_theory/lie_algebras.txt · Last modified: 2023/03/29 17:40 by 132.76.61.54