Geodesic
Hochschild cohomology for self-injective algebras of tree class~$D_n$.~IV
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 21, Tome 388 (2011), pp. 100-118

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We construct the minimal projective bimodule resolution for certain family of representation-finite self-injective algebras of tree class $D_n$. Using this resolution, we calculate dimensions of the Hochschild cohomology groups for these algebras. The above resolution and accordingly the Hochschild cohomology for these algebras are periodic. 
@article{ZNSL_2011_388_a3,
     author = {Y. V. Volkov},
     title = {Hochschild cohomology for self-injective algebras of tree class~$D_n${.~IV}},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {100--118},
     publisher = {mathdoc},
     volume = {388},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2011_388_a3/}
}
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Y. V. Volkov. Hochschild cohomology for self-injective algebras of tree class~$D_n$.~IV. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 21, Tome 388 (2011), pp. 100-118. http://geodesic.mathdoc.fr/item/ZNSL_2011_388_a3/