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Original Articles

On a Question of Rickard on Tensor Products of Stably Equivalent Algebras

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References

  • [Auslander et al. 95] Maurice Auslander, Idun Reiten, and Sverre Smalø. Representation Theory of Artin Algebras. Cambridge, UK: Cambridge University Press, 1995.
  • [Broué 94] Michel Broué. “Equivalences of Blocks of Group Algebras.” In Finite Dimensional Algebras and Related Topics, edited by Vlasta Dlab and Leonard L. Scott, pp. 1–26. Kluwer, 1994.
  • [Curtis and Reiner 90] Charles W. Curtis and Irving Reiner. Methods of Representation Theory, vol. 1. New York, NY: Wiley Interscience, 1990.
  • [GAP 15] GAP – Groups, Algorithms, and Programming, Version 4.7.6. “The GAP Group.” Available online (http://www.gap-system.org), 2015.
  • [Huppert 83] Bertram Huppert. Endliche Gruppen I. Berlin, Springer Verlag, 1983.
  • [Keller and Vossieck 87] Bernhard Keller and Dieter Vossieck. “Sous les catégories dérivées.” Comptes Rendus de l’Académie des Sciences Paris 305 (1987), 225–228.
  • [Liu 08] Yuming Liu. “Summands of Stable Equivalences of Morita Type.” Commun. Algebra 36: 10 (2008), 3778–3782.
  • [Liu et al. 12] Yuming Liu, Guodong Zhou, and Alexander Zimmermann. “Higman Ideal, Stable Hochschild Homology and Auslander-Reiten Conjecture.” Mathematische Zeitschrift 270 (2012), 759–781.
  • [Liu et al. 14] Yuming Liu, Guodong Zhou, and Alexander Zimmermann. “Stable Equivalences of Morita Type Do Not Preserve Tensor Products and Trivial Extensions of Algebras.” Preprint, 2014.
  • [Rickard 89] Jeremy Rickard. “Derived Categories and Stable Equivalence.” J. Pure Appl. Algebra 61 (1989), 303–317.
  • [Rickard 91] Jeremy Rickard. “Derived Equivalences as Derived Functors.” J. Lond. Math. Soc. 43 (1991), 37–48.
  • [Rickard 98] Jeremy Rickard. “Some Recent Advances in Modular Representation Theory.” In Algebras and Modules, I (Trondheim, 1996), CMS Conference Proceedings, vol. 23, edited by Idun Reiten, Sverre O. Smalo, and Oyvind Solberg, pp. 157–178. Providence, RI: American Mathematical Society, 1998.
  • [Robert 73] A. A. M. Robert. Elliptic Curves. Lecture Notes in Mathematics no 326. Berlin-New York: Springer, 1973.
  • [Zimmermann 14] Alexander Zimmermann. Representation Theory: A Homological Algebra Point of View. London, Springer Verlag, 2014.

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