Geodesic
Hochschild cohomology ring for self-injective algebras of tree class~$E_6$
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 26, Tome 423 (2014), pp. 205-243

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The Hochschild cohomology ring are described for algebras from one of the two families of self-injective algebras of tree class $E_6$. The description is given in terms of generators and relations. 
@article{ZNSL_2014_423_a10,
     author = {M. A. Pustovykh},
     title = {Hochschild cohomology ring for self-injective algebras of tree class~$E_6$},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {205--243},
     publisher = {mathdoc},
     volume = {423},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2014_423_a10/}
}
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M. A. Pustovykh. Hochschild cohomology ring for self-injective algebras of tree class~$E_6$. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 26, Tome 423 (2014), pp. 205-243. http://geodesic.mathdoc.fr/item/ZNSL_2014_423_a10/