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Original Articles

The derived category of an algebra with radical square zero

Pages 727-739 | Received 12 Feb 2017, Published online: 19 Jun 2017

References

  • Bautista, R., Liu, S. (2014). Covering theory for linear categories with applications to derived categories. J. Algebra 406:173–225.
  • Bautista, R., Liu, S. (2017). The bounded derived category of an algebra with radical squared zero. J. Algebra 482: 303–345.
  • Bautista, R., Liu, S., Paquette, C. (2013). Representation theory of strongly locally finite quivers. Proc. London Math. Soc. Series 3 106:97–162.
  • Beilinson, A., Ginzburg, V., Soergel, W. (1996). Koszul duality patterns in representation theory. J. Am. Math. Soc. 9(2):473–527.
  • Bekkert, V., Drozd, Y. (2009). Derived categories for algebras with radical square zero. Algebras, Represent. Appl., Contemp. Math. 483:55–62.
  • Caenepeel, S., Van Oystaeyen, F. (1988). Brauer Groups and the Cohomology of Graded Rings. Monographs and Textbooks in Pure and Applied Mathematics, Vol. 121. New York: Marcel Dekker, Inc.
  • Kalck, M., Yang, D. Derived categories of graded gentle one-cycle algebras, arXiv:1611.01903v2.
  • Kalck, M., Yang, D. (2016). Relative singularity categories I: Auslander resolutions. Adv. Math. 301:973–1021.
  • Keller, B. (1994). Deriving DG categories. Ann. Sci. École Norm. Sup. Series 4 27(1):63–102.
  • Keller, B. (2002). A-Infinity Algebras in Representation Theory. Representations of Algebra, Vol. I, II. Beijing: Beijing Normal University Press, pp. 74–86.
  • Keller, B. (2005). On triangulated orbit categories. Doc. Math. 10:551–581.
  • Keller, B. (2006). On differential graded categories. In: International Congress of Mathematicians, Vol. II. Zürich: European Mathematical Society, pp. 151–190.
  • Lu, D. M., Palmieri, J. H., Wu, Q. S., Zhang, J. J. (2008). Koszul equivalences in A∞-algebras. New York J. Math. 14:325–378.
  • Su, H. A note on path A∞-algebras over positively graded quivers, arXiv:1601.04309v2.
  • Su, H., Yang, D. From simple-minded collections to silting objects via Koszul duality, arXiv:1609.03767v3.

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