63
Views
6
CrossRef citations to date
0
Altmetric
Original Articles

Mono orbits, epi orbits and elementary vertices of representation infinite quivers

&
Pages 51-77 | Received 01 Apr 1995, Published online: 27 Jun 2007

References

  • A' Campo , N. 1976 . Sur les valeurs propres de la transformation de Coxeter . Invent, math , 33 : 61 – 67 .
  • Baer , D. 1986 . Homological properties of wild hereditary Artin algebras . Proc. ICRA IV, Springer Lecture Notes in Math , 1177 : 1 – 12 .
  • Baer , D. , Geigle , W. and Lenzing , H. 1987 . The preprojective algebra of a tame hereditary Artin algebra . Comm. Algebra , 15 : 425 – 457 .
  • Bongartz , K. 1981 . Tilted algebras. Proc. ICRA III (Puebla, 1980) . Springer Lecture Notes in Math , 903 : 17 – 32 .
  • Gbigle , W. and Lenzing , H. 1991 . Perpendicular categories with applications to representations and sheaves . J. Algebra , 144 : 273 – 342 .
  • Happel , D. 1988 . “ Triangulated categories in the representation theory of finite dimensional algebras ” . In London Math. Soc , 119 Cambridge University Press .
  • Happel , D. , Reiten , I. and SmalØ , S. 1996 . Tilting in abelian categories and quasitilted algebras Memoirs AMS 120 . Nr. 575 ,
  • Happel , D. and Ringel , C.M. 1982 . Tilted algebras . Trans. Amer. Math. Soc , 274 : 399 – 443 .
  • Kerner , O. 1994 . Elementary stones . Comm. Algebra , 22 : 1797 – 1806 .
  • Kerner , O. and Lukas , F. Elementary modules , to appear in Math.Z
  • Lukas , F. 1991 . Infinite dimensional modules over wild hereditary algebras . J. London Math. Soc , 44 : 401 – 419 .
  • De La Peñ A , J. A. and Takane , M. 1990 . Spectral properties of Coxeter transformations and applications . Arch. Math , 55 : 120 – 134 .
  • Ringel , C. M. 1984 . Tame algebras and integral quadratic forms . Springer Lecture Notes in Math , 55 : 1099
  • Ringel , C. M. 1998 . Chinese Ann. Math. Ser. B. , B9 Vol. 1 , 1 – 18 .
  • Ringel , C. M. 1994 . The spectral radius of the Coxeter transformations for a generalized Cartan matrix . Math. Ann , 300 : 331 – 339 .
  • Schofield , A. 1991 . Semi‐invariants of quivers . J. London Math , 43 : 385 – 395 .
  • Schofield , A. The field of definition of a real representation of a quiver Q, to appear
  • Takane , M. 1992 . “ Propiedades espectrales de las matrices de Coxeter y las matrices de adyacencia de las algebras hereditatias de tipo salvaje ” . In PhD. thesis Mexico
  • Unger , L. 1990 . On wild tilted algebras which are squids . Archiv Math , 55 : 542 – 550 .
  • Unger , L. 1990 . The concealed algebras of the minimal wild, hereditary algebras . Bayreuther Math. Schriften , 99 : 145 – 154 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.