The center of algebras plays a key role in the structure and properties of algebras.The center of little q-Schur algebra uk(3,3)is helpful to calculate the center of little q-Schur algebras uk(3,r).The base of little q-Schur algebra uk(3,3)is used to represent the central elements.Starting from the property that the central elements can be exchanged with other ele-ments when multiplied,the dimension of the center for little q-Schur algebra uk(3,3)under the unit root of degree 3 is calculat-ed and a base for the center of uk(3,3)is obtained,according to the multiplication formulas between the normal base of the q-Schur algebras.
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