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Linear representation theory of symmetric group:S3

6 bytes added, 04:48, 17 June 2012
Schur functors corresponding to irreducible representations
| [[standard representation]] || 2 || 4 || 2 + 1 || [[File:Youngdiag2-1.png|60px]] || <math>\mathbb{S}_{2,1}</math> || <math>d(d + 1)(d - 1)/3</math> || <math>2d(d + 1)(d - 1)/3</math> ||<math>(\chi(g)^3 - \chi(g^3))/3</math>
|-
! Total !! -- !! 6 (equals 3!, order of group) !! -- !! -- !! -- !! -- !! <math>d^3</math> (as expected) !! --
|}
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