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advanced_tools:group_theory:casimir_operators [2017/12/17 12:51] jakobadmin [Student] |
advanced_tools:group_theory:casimir_operators [2017/12/17 12:53] (current) jakobadmin [Student] |
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where $T^A$ denotes the $d(r) \times d(r)$ matrices that represent the generators in the representation $r$. | where $T^A$ denotes the $d(r) \times d(r)$ matrices that represent the generators in the representation $r$. | ||
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+ | The following tables list the quadratic Casimir operators, denotes $C_2(r)$ (and Dynkin indices, denoted d(r)) for the most important representations: | ||
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+ | {{ :advanced_tools:group_theory:group-invariants.jpg?nolink |}} | ||
+ | {{ :advanced_tools:group_theory:group-invariants2.jpg?nolink |}} | ||
+ | {{ :advanced_tools:group_theory:group-invariants3.jpg?nolink |}} | ||
<tabbox Researcher> | <tabbox Researcher> |