Geodesic
Koszul duality and the Hochschild cohomology of Artin–Schelter regular algebras
Homology, homotopy, and applications, Tome 22 (2020) no. 2, pp. 181-202.

Voir la notice de l'article provenant de la source International Press of Boston

We identify two Batalin–Vilkovisky algebra structures, one obtained by Kowalzig and Krahmer on the Hochschild cohomology of an Artin–Schelter regular algebra with semisimple Nakayama automorphism and the other obtained by Lambre, Zhou and Zimmermann on the Hochschild cohomology of a Frobenius algebra also with semisimple Nakayama automorphism, provided that these two algebras are Koszul dual to each other.
DOI : 10.4310/HHA.2020.v22.n2.a12
Classification : 14A22, 16E40, 16S38
Keywords: Artin–Schelter algebra, Koszul duality, cohomology, Batalin–Vilkovisky algebra 
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     author = {Leilei Liu},
     title = {Koszul duality and the {Hochschild} cohomology of {Artin{\textendash}Schelter} regular algebras},
     journal = {Homology, homotopy, and applications},
     pages = {181--202},
     publisher = {mathdoc},
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     number = {2},
     year = {2020},
     doi = {10.4310/HHA.2020.v22.n2.a12},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2020.v22.n2.a12/}
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Leilei Liu. Koszul duality and the Hochschild cohomology of Artin–Schelter regular algebras. Homology, homotopy, and applications, Tome 22 (2020) no. 2, pp. 181-202. doi : 10.4310/HHA.2020.v22.n2.a12. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2020.v22.n2.a12/

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