Geodesic
Hochschild cohomology for M\"obius algebra
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 13, Tome 330 (2006), pp. 173-200

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Additive structure of the Hochschild cohomology ring for Möbius algebra is described in this paper. We use a structure of the bimodule minimal projective resolution of the algebra. This resolution was constructed in the previous publication. 
@article{ZNSL_2006_330_a9,
     author = {M. A. Kachalova},
     title = {Hochschild cohomology for {M\"obius} algebra},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {173--200},
     publisher = {mathdoc},
     volume = {330},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2006_330_a9/}
}
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M. A. Kachalova. Hochschild cohomology for M\"obius algebra. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 13, Tome 330 (2006), pp. 173-200. http://geodesic.mathdoc.fr/item/ZNSL_2006_330_a9/