Timeline for The smallest volume possible for a lattice with integer distances?
Current License: CC BY-SA 4.0
10 events
| when toggle format | what | by | license | comment | |
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| Apr 29, 2022 at 23:01 | answer | added | Ben Mares | timeline score: 5 | |
| Apr 20, 2022 at 6:14 | history | edited | Jukka Kohonen |
Removing lattice-theory tag, no connection to order-theoretic lattices
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| Apr 20, 2022 at 4:52 | history | became hot network question | |||
| Apr 19, 2022 at 21:54 | vote | accept | Eric Naslund | ||
| Apr 19, 2022 at 21:53 | answer | added | Aurel | timeline score: 10 | |
| Apr 19, 2022 at 21:38 | comment | added | Eric Naslund | @WillSawin: Thank you, yes I meant $\|x-y\|_2^2 \in \mathbb{Z}$ rather than $\langle x,y\rangle\in\mathbb{Z}$. If $\Lambda$ is an even unimodular lattice, then $\|x-y\|_2^2 = \langle x,x\rangle+2\langle x,y\rangle+\langle y,y\rangle \in 2\cdot\mathbb{Z}$, and so the $\frac{1}{\sqrt{2}}$ scaling has $\|x-y\|^2 \in \mathbb{Z}$. | |
| Apr 19, 2022 at 21:36 | history | edited | Eric Naslund | CC BY-SA 4.0 |
added 6 characters in body
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| Apr 19, 2022 at 21:06 | comment | added | Will Sawin | Both your examples satisfy only $\langle x,x \rangle \in \mathbb Z$, not $\langle x, y\rangle \in \mathbb Z$ - is that what you meant to ask? | |
| Apr 19, 2022 at 20:50 | history | edited | Eric Naslund | CC BY-SA 4.0 |
deleted 14 characters in body
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| Apr 19, 2022 at 20:43 | history | asked | Eric Naslund | CC BY-SA 4.0 |