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Algebras and Representation Theory

, Volume 21, Issue 6, pp 1251–1275 | Cite as

Külshammer Ideals of Graded Categories and Hochschild Cohomology

  • Yury Volkov
  • Alexandra Zvonareva
Article
  • 22 Downloads

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.

Keywords

Külshammer ideals Hochschild cohomology Graded center Calabi-Yau categories 

Mathematics Subject Classification (2010)

16E40 16E35 18E30 

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Notes

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. 1.St. Petersburg State UniversitySaint PetersburgRussia
  2. 2.Chebyshev LaboratorySt. Petersburg State UniversitySaint PetersburgRussia

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