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Batalin–Vilkovisky Structure on Hochschild Cohomology of Tame Hecke Algebras of Type \(\mathbf {A}\)

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Abstract

Let A be a tame Hecke algebra of type \(\mathbf {A}\). We construct two comparison maps between the minimal projective bimodule resolution and the reduced bar resolution of A by the contracting homotopy, and then we determine the Gerstenhaber algebraic structure and Batalin–Vilkovisky algebraic structure on Hochschild cohomology of A.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Henan University, Kaifeng, 475001, People’s Republic of China

    Bo Hou & Jinzhong Wu

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  1. Bo Hou
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  2. Jinzhong Wu
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Correspondence to Bo Hou.

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Communicated by Ali Taherifar.

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The authors are supported by NSFC (Nos. 11771122,  11801141 and 11961007).

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Hou, B., Wu, J. Batalin–Vilkovisky Structure on Hochschild Cohomology of Tame Hecke Algebras of Type \(\mathbf {A}\). Bull. Iran. Math. Soc. 48, 2159–2172 (2022). https://doi.org/10.1007/s41980-021-00638-z

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  • DOI: https://doi.org/10.1007/s41980-021-00638-z

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