Decomposition of the Symmetric Powers
classification
🧮 math.RA
keywords
symmetricdecompositionirreducibleoplusotimespowerdeterminedmultiplicities
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A decomposition of any symmetric power of $\Bbb C^2\otimes\Bbb C^2\otimes\Bbb C^2$ into irreducible $sl_2(\Bbb C)\oplus sl_2(\Bbb C)\oplus sl_2(\Bbb C)$-submodules are presented. Namely, the multiplicities of irreducible summands in the symmetric power are determined.
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