Geodesic
Hochschild cohomology ring for self-injective algebras of tree class $E_8$
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 37, Tome 500 (2021), pp. 112-148

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The Hochschild cohomology ring for self-injective algebras of tree class $E_8$ with finite representation type is described in terms of generators and relations. 
@article{ZNSL_2021_500_a5,
     author = {M. A. Kachalova},
     title = {Hochschild cohomology ring for self-injective algebras of tree class $E_8$},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {112--148},
     publisher = {mathdoc},
     volume = {500},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2021_500_a5/}
}
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M. A. Kachalova. Hochschild cohomology ring for self-injective algebras of tree class $E_8$. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 37, Tome 500 (2021), pp. 112-148. http://geodesic.mathdoc.fr/item/ZNSL_2021_500_a5/