Higher preprojective algebras and stably Calabi-Yau properties

作者:Amiot Claire*; Oppermann Steffen
来源:Mathematical Research Letters, 2014, 21(4): 617-647.
DOI:10.4310/mrl.2014.v21.n4.a1

摘要

In this paper, we give sufficient properties for a finite-dimensional graded algebra to be a higher preprojective algebra. These properties are of homological nature, they use Gorensteiness and bimodule isomorphisms in the stable category of Cohen-Macaulay modules. We prove that these properties are also necessary for 3-preprojective algebras using [18] and for preprojective algebras of higher representation finite algebras using [5].

  • 出版日期2014

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