Timeline for Which lattices have non-trivial linear representations?
Current License: CC BY-SA 4.0
9 events
when toggle format | what | by | license | comment | |
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Dec 8, 2022 at 21:00 | answer | added | Yegreg | timeline score: 3 | |
Dec 7, 2022 at 20:15 | comment | added | David E Speyer | A good test case would be to ask if a non-Desarguean projective plane has such a representation. en.wikipedia.org/wiki/Non-Desarguesian_plane | |
Dec 7, 2022 at 19:25 | comment | added | David E Speyer | According to mathoverflow.net/questions/55515/… , the answer is yes. So we are reduced to answering your question for $L^{\text{mod}}$. | |
Dec 7, 2022 at 17:38 | comment | added | David E Speyer | I wonder whether every lattice $L$ has a unique modular quotient $L^{\text{mod}}$ through which any map to a modular lattice factors? | |
Dec 7, 2022 at 17:19 | history | edited | Yegreg | CC BY-SA 4.0 |
added 20 characters in body
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Dec 7, 2022 at 4:29 | comment | added | Yegreg | It would be OK, but having a lattice homomorphism onto $\{0 < 1\}$ seems quite far from being a necessary condition, even though it's sufficient. | |
Dec 7, 2022 at 3:46 | comment | added | მამუკა ჯიბლაძე | How unfaithful are you ready to be? Is, for example, something like $L\twoheadrightarrow\{0<1\}\hookrightarrow\operatorname{Sp}(V)$ OK? | |
S Dec 7, 2022 at 3:20 | review | First questions | |||
Dec 7, 2022 at 7:11 | |||||
S Dec 7, 2022 at 3:20 | history | asked | Yegreg | CC BY-SA 4.0 |