6次单位根时小qSchur代数uq(2,r)的生成元与关系式

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

摘要:

主要给出了6次单位根时小qSchur代数uq(2,r)的生成元与关系式.方法是对r的值分情况讨论，利用生成元与关系式定义一个代数，并且证明这个代数与uq(2,r)同构.此外，还给出了小qSchur代数uq(2,r)的一组基.

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.