Or do you mean that "Host Name" (or perhaps the "Local Domain Name") on the router should be set the same as "Workgroup" on the computers?. Yes, LDN should be the same same has he HOST NAME for the Work Group name in Windows.
Do I understand you correctly that the "Workgroup" name on all the individual computers in my password-protected-sharing workgroup must also be entered in the Setup/Network Settings/"Local Domain Name (Optional)" field on the DIR-645? Two reasons for questioning your advice here:
1) This does not appear to be necessary to reach the network shares. I removed my workgroup name from this field with no ill effects so far.
2) This appears to be a security risk (albeit small) because there is another computer on my LAN (my wife's business computer) that is **not** a workgroup member. However, ipconfig/all on her computer reveals my workgroup name when it is entered in the "Local Domain Name" field on the DIR-645. Presumably her computer (and by extension any other computers that happen to attach to my LAN) is getting this name from the router. This is why I removed it.
If you can check me on this, I'd appreciate it! -- jclarkw