The center of q-Schur algebra U(2,r)

Abstract

In this article, we obtain a basis for the center of the q-Schur algebra $\mathbf{U}(2,r)$ in terms of its normalized basis.

Keywords:

• Center
• normalized basis
• q-Schur algebra
• quantum group

2020 Mathematics Subject Classification:

• 17B37
• 20G43
• 20C08

Additional information

Funding

The authors would like to thank the referee for several helpful comments. Wenting Gao is supported by the Nanhu Scholars Program for Young Scholars of XYNU; Mingqiang Liu is supported by the National Natural Science Foundation of China (Grant No. 11801312).