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Koszul duality and the Hochschild cohomology of Artin–Schelter regular algebras
Homology, Homotopy and Applications ( IF 0.5 ) Pub Date : 2020-01-01 , DOI: 10.4310/hha.2020.v22.n2.a12
Leilei Liu 1
Affiliation  

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.

中文翻译:

Koszul 对偶性和 Artin-Schelter 正则代数的 Hochschild 上同调

我们确定了两个 Batalin-Vilkovisky 代数结构,一个由 Kowalzig 和 Krahmer 在具有半单 Nakayama 自同构的 Artin-Schelter 正则代数的 Hochschild 上同调上获得,另一个由 Lambre、Zhou 和 Zimmermann 在 Frobenius 代数的 Hochschild 上同调上获得半简单 Nakayama 自同构,前提是这两个代数是 Koszul 对偶。
更新日期:2020-01-01
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