Geodesic
Hochschild cohomology for self-injective algebras of tree class $D_n$. V
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 22, Tome 394 (2011), pp. 140-173 Cet article a éte moissonné depuis la source Math-Net.Ru

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Description of Hochschild cohomology algebra in terms of generators with relations is given for one family of self-injective algebras of tree class $D_n$. Minimal bimodule projective resolution which was constructed by the author in another paper is used for the corresponding calculations. 
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     author = {Yu. V. Volkov},
     title = {Hochschild cohomology for self-injective algebras of tree class $D_n${.~V}},
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Yu. V. Volkov. Hochschild cohomology for self-injective algebras of tree class $D_n$. V. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 22, Tome 394 (2011), pp. 140-173. http://geodesic.mathdoc.fr/item/ZNSL_2011_394_a3/

[1] Yu. V. Volkov, “Kogomologii Khokhshilda samoin'ektivnykh algebr drevesnogo tipa $D_n$. IV”, Zap. nauchn. semin. POMI, 388, 2011, 100–118 | MR

[2] Yu. V. Volkov, “k Klassy stabilnoi ekvivalentnosti samoin'ektivnykh algebr drevesnogo tipa $D_n$”, Vestnik S.-Pb. un-ta, Ser. 1, Mat., mekh., astr., 2008, no. 1, 15–21 | Zbl