Max Trinidad shows that Powershell remoting works for connecting Linux to Windows and vice versa:
Connecting Linux to Windows
This is strange but, more likely, you will get an error the first time you try to connect. Just try the second try and it will work.
I need to see what Powershell objects for Linux currently exist; my guess is “not many, if any” but as those start getting fleshed out, I think even the most adamant of grep-sed-awk users will want to pick up at least a little bit of Powershell.