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Külshammer ideals of graded categories and Hochschild cohomology (1705.03113v1)
Published 8 May 2017 in math.KT and math.RT
Abstract: We generalize the notion of K\"ulshammer ideals to the setting of a graded category. This allows us to define and study some properties of K\"ulshammer type ideals in the graded center of a triangulated category and in the Hochschild cohomology of an algebra, providing new derived invariants. Further properties of K\"ulshammer ideals are studied in the case where the category is $d$-Calabi-Yau.