Using a Standard SSL Certificate on an Aliased Domain in Shared Hosting
You cannot use a standard SSL on an aliased domain name in shared hosting because standard SSLs only work properly with the domain name for which they are issued.
You can, however, use a multi-domain (UCC) SSL to secure both the primary domain and any aliased domain names on the shared hosting account. Keep in mind, if someone views the certificate on an aliased domain, that person will see all other domain names that the UCC SSL protects. This situation might not be ideal for unrelated domain names.