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arXiv · 1705.03113

K\"ulshammer ideals of graded categories and Hochschild cohomology

Yury Volkov·Alexandra Zvonareva
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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.

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Yury Volkov, Alexandra Zvonareva. 2017-05-08. K\"ulshammer ideals of graded categories and Hochschild cohomology. https://arxiv.org/abs/1705.03113

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