$BV$-structure on Hochschild cohomology for exceptional local algebras of quaternion type. The case of small parameter
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 38, Tome 513 (2022), pp. 164-192

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The case of small parameter. This is the second paper in the cycle of papers about the $BV$-structure on the Hocshild cohomology of exceptional algebras of quaternion type. The full description of the $BV$-structure is given for the case of algebras $R(k,0,d)$ of quaternion type, defined by parameter $k = 2$ according to the Erdmann classification.
@article{ZNSL_2022_513_a11,
     author = {A. V. Semenov},
     title = {$BV$-structure on {Hochschild} cohomology for exceptional local algebras of quaternion type. {The} case of small parameter},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {164--192},
     publisher = {mathdoc},
     volume = {513},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2022_513_a11/}
}
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A. V. Semenov. $BV$-structure on Hochschild cohomology for exceptional local algebras of quaternion type. The case of small parameter. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 38, Tome 513 (2022), pp. 164-192. http://geodesic.mathdoc.fr/item/ZNSL_2022_513_a11/