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

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dc.creatorEu, Ching-Hwa
dc.date2007-06-16
dc.date2007-10-24
dc.date.accessioned2026-07-07T08:37:59Z
dc.date.available2026-07-07T08:37:59Z
dc.descriptionThe 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.
dc.description30 pages
dc.identifierhttps://arxiv.org/abs/0706.2418
dc.identifierhttp://arxiv.org/abs/0706.2418
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/140566
dc.subjectRepresentation Theory
dc.subjectQuantum Algebra
dc.titleThe calculus structure of the Hochschild homology/cohomology of preprojective algebras of Dynkin quivers
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