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Original Articles

On the Complement of the Dense Orbit for a Quiver of Type 𝔸

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Pages 2871-2889 | Received 14 Jun 2011, Published online: 13 Mar 2014

REFERENCES

  • Abeasis , S. , Del Fra , A. ( 1980 ). Degenerations for the representations of an equioriented quiver of type A m . Boll. Un. Mat. Ital. Suppl. ( 2 ): 157 – 171 .
  • Abeasis , S. , Del Fra , A. , Kraft , H. ( 1981 ). The geometry of representations of A m . Math. Ann. 256 ( 3 ): 401 – 418 .
  • Baur , K. , Hille , L. ( 2012 ). On the complement of Richardson orbit . Math. Z. 272 ( 1–2 ): 31 – 49 .
  • Brüstle , T. , Hille , L. , Ringel , C. M. , Röhrle , G. ( 1999 ). The Δ-filtered modules without self-extensions for the Auslander algebra of k[T]/ ⟨ T n  ⟩ . Algebr. Represent. Theory 2 ( 3 ): 295 – 312 .
  • Brüstle , T. , Hille , L. , Röhrle , G. , Zwara , G. ( 1999 ). The Bruhat-Chevalley order of parabolic group actions in general linear groups and degeneration for Δ-filtered modules . Adv. Math. 148 ( 2 ): 203 – 242 .
  • Fulton , W. Introduction to toric varieties. Annals of Mathematics Studies Vol. 131. The William H. Roever Lectures in Geometry. Princeton: Princeton University Press.
  • Hille , L. ( 2006 ). On the volume of a tilting module . Abh. Math. Sem. Univ. Hamburg 76 : 261 – 277 .
  • Hille , L. ( 2003 ). Aktionen Algebraischer Gruppen, Geometrische Quotienten und Köcher . Habilitation thesis, Hamburg .
  • Knight , H. , Zelevinsky , A. ( 1996 ). Representations of quivers of type A and the multisegment duality . Adv. Math. 117 ( 2 ): 273 – 293 .
  • Pjaseckii , V. S. ( 1975 ). Linear Lie groups that act with a finite number of orbits . Funkcional. Anal. i Prilozen. 9 ( 4 ): 85 – 86 .
  • Richardson , R. W. Jr. , ( 1974 ). Conjugacy classes in parabolic subgroups of semisimple algebraic groups . Bull. London Math. Soc. 6 : 21 – 24 .
  • Riedtmann , C. , Schofield , A. ( 1991 ). On a simplicial complex associated with tilting modules . Comment. Math. Helv. 66 ( 1 ): 70 – 78 .
  • Ringel , C. M. ( 1999 ). The multisegment duality and the preprojective algebras of type A. AMA Algebra Montp. Announc. (electr.) .
  • Spaltenstein , N. ( 1982 ). Classes Unipotentes et Sous-Groupes de Borel . Vol. 946 . Lecture Notes in Mathematics , Berlin, New York : Springer-Verlag .
  • Zelevinsky , A. ( 1981 ). The p-adic analogue of the Kazhdan–Lusztig conjecture. (Russian) Funktsional. Anal. i Prilozhen. 15 ( 2 ): 9 – 21 .
  • Zwara , G. ( 1999 ). Degenerations for modules over representation-finite algebras . Proc. Amer. Math. Soc. 127 ( 5 ).
  • Communicated by D. Zacharia.

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