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Gorenstein orders of class A n

Part of the Lecture Notes in Mathematics book series (LNM,volume 1178)

Keywords

  • Equivalence Class
  • Dynkin Diagram
  • Projective Cover
  • Dedekind Domain
  • Translation Quiver

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References

  1. K. Bongartz-P. Gabriel: "Covering spaces in representation theory", Invent.Math. 65 (1982), 331–378

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  2. P. Gabriel-Chr. Riedtmann: "Group representations without groups", Comment.Math.Helv. 54 (1979), 240–287

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  3. D. Happel-U. Preiser-C.M. Ringel: "Vinberg's characterization of Dynkin diagrams using subadditive functions with applications to DTr-periodic modules", in Representation Theory II, Lecture Notes in Mathematics 832 (Springer, 1980), pp. 280–294

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  4. Chr. Riedtmann: "Algebren, Darstellungsköcher, Überlagerungen und zurück", Comment.Math.Helv. 55 (1980), 199–224

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  5. Chr. Riedtmann: "Representation — finite selfinjective algebras of class An", in Representation Theory II, Lecture Notes in Mathematics 832 (Springer, 1980), pp. 449–520

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  6. C.M. Ringel-K.W. Roggenkamp: "Diagrammatic methods in the representation theory of orders", J.Algebra 60 (1979), 11–42

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  7. K.W. Roggenkamp: "Gorenstein orders of finite representation type and bijective lattices", these Proceedings

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  8. A. Wiedemann: "On the existence of covering functors for orders and consequences for stable components with oriented cycles", to appear in J. Algebra

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  9. A. Wiedemann: "Classification of the Auslander-Reiten quivers of local Gorenstein orders and a characterization of the simple curve singularities", preprint, Stuttgart 1984

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© 1986 Springer-Verlag

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Wiedemann, A. (1986). Gorenstein orders of class A n . In: Dlab, V., Gabriel, P., Michler, G. (eds) Representation Theory II Groups and Orders. Lecture Notes in Mathematics, vol 1178. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0075300

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  • DOI: https://doi.org/10.1007/BFb0075300

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16433-3

  • Online ISBN: 978-3-540-39777-9

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