Generators and Relations of Little qSchur Algebra uq(2,r) in 6th Root of Unity

Abstract:

The generators and relations of little qSchur algebra uq(2,r) were mainly obtained in the 6th root of unity. The algebra was defined by generators and the relations for each case were defined, too. Moreover, that the algebra is isomorphic to little qSchur algebra uq(2,r) is proved. Furthermore, a basis for little qSchur algebra uq(2,r) is obtained.