Geodesic
Hochschild cohomology ring of M\"obius algebras
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 21, Tome 388 (2011), pp. 210-246

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We describe the Hochschild cohomology ring of Möbius algebras in terms of generators and relations. 
@article{ZNSL_2011_388_a9,
     author = {M. A. Pustovykh},
     title = {Hochschild cohomology ring of {M\"obius} algebras},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {210--246},
     publisher = {mathdoc},
     volume = {388},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2011_388_a9/}
}
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M. A. Pustovykh. Hochschild cohomology ring of M\"obius algebras. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 21, Tome 388 (2011), pp. 210-246. http://geodesic.mathdoc.fr/item/ZNSL_2011_388_a9/