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Apr 22, 2020 at 13:59 comment added abx Yes. A representation of a group on a vector space extends in a natural way to its symmetric (or exterior) algebra.
Apr 22, 2020 at 13:14 comment added Yi_Feng @abx Thank you for your comments. So I think we can view $Det_n$ as a point in $\mathbb{P}S^nW$, and $GL(W)$ acts on it by acting on every symbols in every terms of the polynomial $Det_n$, do you think so?
Apr 22, 2020 at 12:17 review Close votes
Apr 26, 2020 at 16:43
Apr 22, 2020 at 12:01 comment added abx No. There is no polynomials in that paragraph. Read it again.
Apr 22, 2020 at 10:38 comment added Yi_Feng @abx It's in the second paragraph of the Introduction chapter of this paper.
Apr 22, 2020 at 9:43 comment added abx Where in the paper have you seen that $Det_n$ lives in $\mathbb{P}W$???
Apr 22, 2020 at 9:20 history edited Yi_Feng CC BY-SA 4.0
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Apr 22, 2020 at 8:45 review First posts
Apr 22, 2020 at 9:44
Apr 22, 2020 at 8:42 history asked Yi_Feng CC BY-SA 4.0