Let k be a field of characteristic zero and q ∈ k a root of unity. Let H be the Hecke algebra of the symmetric group Sn over k, with parameter q. In this paper the Hochschild cohomology ring of an arbitrary block of H is determined in terms of the Hochschild cohomology of Brauer tree algebras and actions of subgroups of Sn. As the authors remark, this result follows from a combination of known work. Hence the original part of the paper, the section “Proof of the theorem”, consists of no more than eight lines
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