The calculus structure of the Hochschild homology-cohomology of preprojective algebras of Dynkin quivers - Mathematics > Representation TheoryReport as inadecuate




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Abstract: The Hochschild homology-cohomology an associative algebra, together with theConnes differential, the contraction map and the Lie derivative, forms thestructure of calculus. In this paper we compute explicitely the calculusstructure of preprojective algebras of Dynkin quivers over a field ofcharacteristic zero. This also completes the work in math.AG-0502301, where theBatalin-Vilkovisky structure of the Hochschild cohomology of preprojectivealgebras of non-Dynkin quivers are computed and the calculus can be easilycomputed from that.



Author: Ching-Hwa Eu

Source: https://arxiv.org/







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