"The plate is between you and me."
Translation:Tallriken är mellan dig och mig.
There is a Swedish equivalent of that word (ligger), but I believe it could be a bit awkward in this sentence. I know it can be used to indicate where something is on a larger scale, such as a city. However, we would need a native speaker to completely clarify ligger's usage.
There's nothing wrong with saying that a book ligger somewhere (if it is in that position), but for plates, they only ligger if they're broken or upside down. This has to do with the intrinsic orientation of objects. Since a plate has 'tiny feet', it is considered to be standing when it's placed the normal way. So it's correct to say tallriken står, which we often would in statements like Tallriken står på bordet 'The plate is on the table'.
No, there's of course nothing wrong with it, but (also judging from the questions in this thread), I think it's worth pointing out that there is mostly no inherent need to use anything else than "är".
This is because in some languages (notably Dutch), you are usually required to use a verb that explicitly states whether the item is lying, standing, etc., which means that learners have to really think about it for each kind of item.
The line is of course fuzzy, but I tend to find that this intrinsic orientation is far more important, and far more commonly used, in Dutch than in Swedish. Which means that users learning Swedish needn't worry too much about it at the A1--A2-level... :-)
I'll write a longer topic about this sooner or later, but one important point for beginners to take away would be that if we're mainly interested in finding an object, we'd probably not use a position verb other than for things on a larger scale, as CutePorcupine mentioned. But it's also useful to know that we're much more likely to use position verbs in other contexts than they are in English.
So we'd probably ask Var är boken? not Var ligger boken?, but we'd be much more likely to answer Boken ligger på bordet than English speakers would be to say 'The book lies on the table'.
I don't know any Dutch so I'll take your word for that, but you're probably mistaken about Russian. I don't think one can say that Russian is more interested in locating things as sitting/standing/lying than Swedish is. Rather, sometimes they do and we don't, sometimes the other way around, but surprisingly often, we make the same choices. A case in point: Just like we'd just say Var är boken? if we were mainly interested in just finding the book, they'd be most likely to say just Где книга? in the same way in Russian – they'd be no more likely to add лежит than we would to add ligger. But if we wanted to ask about the location of a city, we would use ligger in Swedish – we would prefer to say Var ligger Stockholm? rather than just Var är Stockholm? whereas in Russian they'd be more likely to either use the abstract verb находится or just the null copula, and less likely to use лежит.
Plates can only ligga if they are upside down or broken. If they're in their typical position, they står. This is because they have an intrinsic orientation with up and down.
Glaset står på bordet 'The glass is [standing] on the table'
Koppen står på bordet 'The cup is [standing] on the table'
Tallriken står på bordet 'The plate is [standing] on the table'
Skeden ligger på bordet 'The spoon is [lying] on the table'
Duken ligger på bordet 'The tablecloth is [lying] on the table'
I could be wrong, as I am not a native speaker, but I believe "ligger" is supposed to be on a larger scale, such as where a building is located in a city. I've also heard it used in a song (Pärlor by Kent, if you're interested), "Stockholm ligger öde," which means "Stockholm is deserted."