@rainolf
It was interesting case and the solution is very easy. I think that it may be interesting for a lot people.
Let’s add the custom file - ‘custom/Extension/modules/Cases/Ext/Vardefs/account_name.php’
$dictionary['Case']['fields']['account_name']['field_list']=
array('account_name','account_id','account_industry_c','account_type_c');
$dictionary['Case']['fields']['account_name']['populate_list']=
array('name','id','industry','account_type');