Mathematics – Rings and Algebras
Scientific paper
2012-02-22
Mathematics
Rings and Algebras
13 pages
Scientific paper
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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