Abstract:
The main formulas for the unitary series of representations of the group $SL(2,\mathbb C)$ are given, and the decomposition of a tensor product of two representations into irreducible is considered. A simple proof of completeness of the $3j$-symbols is given.
Key words and phrases:representation theory of SL(2,C) group, 3j-symbols, completeness relation, unitary principal series representations, decomposition of a tensor product of representations.
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