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Hochschild and cyclic (co)homology of the Fomin-Kirillov algebra on 3 generators (2112.01201v1)
Published 2 Dec 2021 in math.KT and math.QA
Abstract: The goal of this article is to explicitly compute the Hochschild (co)homology of the Fomin-Kirillov algebra on three generators over a field of characteristic different from 2 and 3. We also obtain the cyclic (co)homology of the Fomin-Kirillov algebra in case the characteristic of the field is zero. Moreover, we compute the algebra structure of the Hochschild cohomology.