Batalin–Vilkovisky Structure on Hochschild Cohomology of Tame Hecke Algebras of Type A

Let A be a tameHecke algebra of type 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.