# Decomposition of the 3rd symmetric tensor power of [3] in A1

Below you find the decomposition of the 3rd symmetric tensor power
of the irreducible A1-module with highest weight [3] into its
irreducible factors, as computed by LiE.
Each term represents a different highest weight of an irreducible module
occurring in the decomposition, prefixed by its multiplicity of occurrence.
The 3rd symmetric tensor power of [3] has dimension 20.

1X[9] +1X[5] +1X[3]
Computation time 0.00 sec.

If you like, you may look at the
implementation
that was used (function *SAtensor* on page 2).

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