The calculus structure of the Hochschild homology/cohomology of preprojective algebras of Dynkin quivers

Details The calculus structure of the Hochschild homology/cohomology of preprojective algebras of Dynkin quivers The calculus structure of the Hochschild homology/cohomology of preprojective algebras of Dynkin quivers

2007-06-16

arxiv.org/abs/0706.2418v2

Mathematics

Representation Theory

30 pages

Scientific paper

The Hochschild homology/cohomology an associative algebra, together with the Connes differential, the contraction map and the Lie derivative, forms the structure of calculus. In this paper we compute explicitely the calculus structure of preprojective algebras of Dynkin quivers over a field of characteristic zero. This also completes the work in math.AG/0502301, where the Batalin-Vilkovisky structure of the Hochschild cohomology of preprojective algebras of non-Dynkin quivers are computed and the calculus can be easily computed from that.

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