The people in a Representative's district are called constituents.
Sometimes these are called the "representative" elements.
A republic is also called a representative democracy.
The representative of Her Majesty the Queen, in each province, is called the Lieutenant Governor.
We call a representative to a foreign country an ambassador.
delegates
Official
it is called a congressional district
The premier of Quebec is Jean Charest.There is no position called "provincial representative".
Diplomat
republic.
The Congress.