Timeline for Grassmannian $\mathrm{Gr}(k, \pm \infty)$ in infinite dimension
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 16, 2023 at 18:36 | comment | added | Oliver | There are lots of subtly different versions of this construction, especially if you are coming from an algebraic geometry perspective. Some good references to start might be arxiv.org/abs/1806.11233 and kurims.kyoto-u.ac.jp/~kenkyubu/kashiwara/the-flag.pdf | |
| Nov 14, 2023 at 17:03 | comment | added | Sam Hopkins | That seems like an unusual convention. Normally I think of $\mathbb{C}^\infty$ as having a canonical ordered basis $e_1,e_2,\ldots$. Especially when writing $\mathbb{C}^\infty = \cup_{n=0}^{\infty} \mathbb{C}^n$ as a direct limit. | |
| Nov 14, 2023 at 16:58 | comment | added | Jianrong Li | @SamHopkins, the column indices of a matrix in $Gr(k, \pm \infty)$ can be any negative and positive numbers. I use it to distinguish $Gr(k, +\infty)$ in which the matrices have column indices positive. | |
| Nov 14, 2023 at 13:20 | answer | added | Jan Grabowski | timeline score: 4 | |
| Nov 14, 2023 at 12:54 | comment | added | Sam Hopkins | Why include the $\pm$ symbol? | |
| Nov 14, 2023 at 12:53 | comment | added | Dave Benson | Your variety is the classifying space for the unitary group $\operatorname{\rm U}(k)$, and is much studied in this context. | |
| Nov 14, 2023 at 12:23 | history | edited | YCor | CC BY-SA 4.0 |
formatting, added tag, moved meta info to tag
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| Nov 14, 2023 at 12:07 | history | asked | Jianrong Li | CC BY-SA 4.0 |