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Apr 13, 2021 at 18:54 comment added Sasha The question is a bit strange because there is no canonical embedding from $S_\lambda V$ to $V^{\otimes d}$ unless $\lambda = (d)$ or $(1^d)$. The answer might depend on the choice of the embedding.
Apr 13, 2021 at 18:25 comment added Mark Wildon No I don't. I think they have concentrated on the tensor rank of multiplication, not a specific Schur module. Interesting question by the way.
Apr 13, 2021 at 18:13 comment added gigi @MarkWildon yes I've checked some of his recent papers but I'm not able to find explicitly what I'm asking. Do you know a specific paper in which Ikenmeyer states results about the minimal rank of tensors in Schur modules?
Apr 13, 2021 at 16:03 comment added Mark Wildon Have you looked at papers by Christian Ikenmeyer and his collaborators on geometric complexity theory?
Apr 13, 2021 at 14:17 history edited gigi CC BY-SA 4.0
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Apr 13, 2021 at 14:10 history asked gigi CC BY-SA 4.0