Geodesic
Almost Split Sequences of the Quantum Double of a Finite Group
Matematičeskie zametki, Tome 95 (2014) no. 3, pp. 385-399

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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.
Keywords: quantum double, dihedral group, almost split sequence, Auslander–Reiten quiver. 
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     author = {J. Dong and H. Chen},
     title = {Almost {Split} {Sequences} of the {Quantum} {Double} of a {Finite} {Group}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {385--399},
     publisher = {mathdoc},
     volume = {95},
     number = {3},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2014_95_3_a6/}
}
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J. Dong; H. Chen. Almost Split Sequences of the Quantum Double of a Finite Group. Matematičeskie zametki, Tome 95 (2014) no. 3, pp. 385-399. http://geodesic.mathdoc.fr/item/MZM_2014_95_3_a6/