Geodesic
Hochschild cohomology ring of Möbius 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. 
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M. A. Pustovykh. Hochschild cohomology ring of Möbius 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/

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