@Cley, *,
Cley Faye wrote
The "close document" behavior you're noticing on windows is not linked to
LibreOffice, but is a feature of the system. It just mean "close the
window, not the app" and work everywhere. You can try it in most tabbed
browser too 
Sorry but that is not quite correct. The Key mappings are actually
hard-coded in the vcl modules of LibreOffice core--see the source
http://opengrok.libreoffice.org/xref/core/vcl/source/window/keycod.cxx
On Windows the KEY_MOD1 is the <Ctrl> key, KEY_MOD2 is the <Alt> key, and I
beleive the Windows key is mapped to KEY_MOD3-- on OSX I believe the
KEY_MOD1 is mapped to the <Command> key and KEY_MOD2 is mapped to <Alt> but
I'd have to check that.
So, the reason it is not available to customize in the Writer Tools -->
Customize --> Keyboard is because the key combo is defined for the entire
LibreOffice application--they are reserved. As can be seen in the source,
a <CTRL>+F4 or <CTRL>+W will */Close/* the document. While a <ALT>+F4 or
<CTRL>+Q will */Quit/* LibreOffice.
All that being said, the operating system may have other key-mappings in
place that can conflict or take precedence over LibreOffice mappings. That
does happen on some of the Linux Desktop Environments and is likely what is
affecting Thomas.
Stuart