On the Null Cone for Quiver Representations Under Reflection Functors

REFERENCES

• Assem , I. , Simson , D. , Skowroński , A. ( 2006 ). Elements of the Representation Theory of Associative Algebras. 1: Techniques of Representation Theory . Vol. 65 of London Mathematical Society Student Texts . Cambridge : Cambridge University Press .
   Google Scholar
• Auslander , M. , Reiten , I. ( 1975 ). Representation theory of Artin algebras. III. Almost split sequences . Comm. Algebra 3 : 239 – 294 .
   Web of Science ®Google Scholar
• Bernstein , I. N. , Gelfand , I. M. , Ponomarev , V. A. ( 1973 ). Coxeter functors, and Gabriel's theorem . Uspehi Mat. Nauk. 28 : 19 – 33 .
   Google Scholar
• Bongartz , K. ( 1994 ). Minimal singularities for representations of Dynkin quivers . Comment. Math. Helv. 69 : 575 – 611 .
   Web of Science ®Google Scholar
• Bongartz , K. ( 1995 ). Degenerations for representations of tame quivers . Ann. Sci. École Norm. Sup. (4) 28 : 647 – 668 .
   Web of Science ®Google Scholar
• Cartan , H. , Chevalley , C. ( 1956 ). Géométrie algébrique. Séminaire H. Cartan et C. Chevalley, 8e année: 1955/1956 . Secrétariat mathématique , Paris .
   Google Scholar
• Gabriel , P. ( 1975 ). Représentations indécomposables . In: Séminaire Bourbaki, 26e année (1973/1974), Exp. No. 444 , Lecture Notes in Math. , Vol. 431 . Berlin : Springer , pp. 143 – 169 .
   Google Scholar
• Kraft , H. ( 1984 ). Geometrische Methoden in der Invariantentheorie . Aspects of Mathematics, D1. Friedr . Braunschweig : Vieweg & Sohn .
   Google Scholar
• Kraft , H. , Riedtmann , Ch. ( 1986 ). Geometry of representations of quivers . In: Representations of Algebras (Durham, 1985) . Vol. 116 of London Math. Soc. Lecture Note Ser . Cambridge : Cambridge Univ. Press , pp. 109 – 145 .
   Google Scholar
• Riedtmann , Ch. , Zwara , G. ( 2004 ). On the zero set of semi-invariants for tame quivers . Comment. Math. Helv. 79 : 350 – 361 .
   Web of Science ®Google Scholar
• Ringel , C. M. ( 1980 ). The rational invariants of the tame quivers . Invent. Math. 58 : 217 – 239 .
   Web of Science ®Google Scholar
• Ringel , C. M. ( 1984 ). Tame Algebras and Integral Quadratic Forms, Vol. 1099 of Lecture Notes in Mathematics . Berlin : Springer-Verlag .
   Google Scholar
• Sato , M. , Kimura , T. ( 1977 ). A classification of irreducible prehomogeneous vector spaces and their relative invariants . Nagoya Math. J. 65 : 1 – 155 .
   Web of Science ®Google Scholar
• Communicated by D. Zacharia.
   Google Scholar