 Self-duality of finite-dimensional SU2 representations (source code)

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= Self-duality of finite-dimensional SU2 representations

The standard invariant alternating form identifies $V_1$ with its dual. Its symmetric powers identify every $V_n$ with $V_n^*$, and complete reducibility then gives $V\cong V^*$ for every finite-dimensional complex $SU_2$-representation.

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