Group Representation Restriction

A group representation restriction is the group representation of a subgroup obtained by restricting a group representation of a group on a vector space . For example, the symmetric group on three letters has a group representation on , using permutation products composed from left to right, given by

			(1)
			(2)
			(3)
			(4)
			(5)
			(6)

that can be restricted to the subgroup of group order 3,

			(7)
			(8)
			(9)