Timeline for How can GL(n) acts on the determinant polynomial?
Current License: CC BY-SA 4.0
9 events
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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 |