Almost split sequences of the quantum double of a finite group

作者：Dong, J.^*; Chen, H. -X.

来源：Mathematical Notes, 2014, 95(3-4): 346-358.

DOI：10.1134/S0001434614030079

• quantum double
• dihedral group
• almost split sequence
• Auslander-Reiten quiver

Let k be a field of characteristic p > 0, and G be a finite group of order divisible by p. We prove that the almost split sequences of the quantum double D(kG) can be constructed from those of group algebras, where the groups run over all centralizer subgroups of representatives of conjugate classes of G. As a special case, we give an application to the quantum double of dihedral groups.

• 出版日期2014-3
• 单位扬州大学; 南京农业大学