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 — advanced_tools:group_theory:translation_group [2018/04/08 13:43] (current)jakobadmin created 2018/04/08 13:43 jakobadmin created 2018/04/08 13:43 jakobadmin created Line 1: Line 1: + ====== Translation Group ====== + +  ​ + + + Explanations in this section should contain no formulas, but instead colloquial things like you would hear them during a coffee break or at a cocktail party. + ​ + ​ +  ​ + + The group of translations is always equivalent to the space we are considering. So if we are dealing with objects in $\mathbb{R}^3$ the translation group is $\mathbb{R}^3$. If we consider objects in Minkowski space $\mathbb{R}^{3,​1}$,​ the group of translations is $\mathbb{R}^{3,​1}$. + + {{ :​advanced_tools:​group_theory:​translation_operator.png?​nolink |}} + +  ​ + + + The motto in this section is: //the higher the level of abstraction,​ the better//. + ​ + +  ​ + + + + ​ +