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Külshammer Ideals of Graded Categories and Hochschild Cohomology

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Abstract

We generalize the notion of Külshammer ideals to the setting of a graded category. This allows us to define and study some properties of Külshammer 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 Külshammer ideals are studied in the case where the category is d-Calabi-Yau.

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Acknowledgments

Yury Volkov is supported by the RFBR Grant 17-01-00258 and by the President’s Program ”Support of Young Russian Scientists” (Grant MK-1378.2017.1). Alexandra Zvonareva is supported by the RBFR Grant 16-31-60089.

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Authors and Affiliations

  1. St. Petersburg State University, 14th Line V.O., 29B, Saint Petersburg, 199178, Russia

    Yury Volkov

  2. Chebyshev Laboratory, St. Petersburg State University, 14th Line V.O., 29B, Saint Petersburg, 199178, Russia

    Alexandra Zvonareva

Authors
  1. Yury Volkov
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  2. Alexandra Zvonareva
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Correspondence to Alexandra Zvonareva.

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Presented by Henning Krause.

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Volkov, Y., Zvonareva, A. Külshammer Ideals of Graded Categories and Hochschild Cohomology. Algebr Represent Theor 21, 1251–1275 (2018). https://doi.org/10.1007/s10468-017-9746-4

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  • DOI: https://doi.org/10.1007/s10468-017-9746-4

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