JSF application works with Internet Explorer http but not https

I have a jsf application that works fine in Internet Explorer over http.  But when I run the same application over https, I get many jsf errors, such as object does not support property or method, or 'xxx' is undefined.

I'm not sure where to even start to determine the nature of this behavior.  Any ideas where I can start or what might be causing this issue?

Thanks

Beth