Character of the homogeneous polynomial representation of SU2

If

g \in S U_{2}

has eigenvalues

z, z^{- 1}

, then

χ_{V_{n}} (g) = z^{n} + z^{n - 2} + \dots + z^{- n} .

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Past exam of the mathematics course of the University of Cambridge / 2018 / ii / Paper 4 / 19I / Solution
Past exam of the mathematics course of the University of Cambridge / 2022 / ii / Paper 3 / 19H / Solution
Past exam of the mathematics course of the University of Cambridge / 2025 / ii / Paper 3 / 19J / a / Solution

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