On the zero set of semi-invariants for quivers

Christine Riedtmann; Grzegorz Zwara

Annales scientifiques de l'École Normale Supérieure (2003)

  • Volume: 36, Issue: 6, page 969-976
  • ISSN: 0012-9593

How to cite

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Riedtmann, Christine, and Zwara, Grzegorz. "On the zero set of semi-invariants for quivers." Annales scientifiques de l'École Normale Supérieure 36.6 (2003): 969-976. <http://eudml.org/doc/82623>.

@article{Riedtmann2003,
author = {Riedtmann, Christine, Zwara, Grzegorz},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {semi-invariants of quivers; complete intersections; representations of quivers; prehomogeneous dimension vectors; algebras of semi-invariant functions},
language = {eng},
number = {6},
pages = {969-976},
publisher = {Elsevier},
title = {On the zero set of semi-invariants for quivers},
url = {http://eudml.org/doc/82623},
volume = {36},
year = {2003},
}

TY - JOUR
AU - Riedtmann, Christine
AU - Zwara, Grzegorz
TI - On the zero set of semi-invariants for quivers
JO - Annales scientifiques de l'École Normale Supérieure
PY - 2003
PB - Elsevier
VL - 36
IS - 6
SP - 969
EP - 976
LA - eng
KW - semi-invariants of quivers; complete intersections; representations of quivers; prehomogeneous dimension vectors; algebras of semi-invariant functions
UR - http://eudml.org/doc/82623
ER -

References

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  1. [1] Chang C., Weyman J., Representations of quivers with free module of covariants, preprint. Zbl1064.16014MR2067189
  2. [2] Gabriel P., Représentations indécomposables, in: Sém. Bourbaki (1973/74), exp. n. 444, Lecture Notes in Math., vol. 431, 1975, pp. 143-169. Zbl0335.17005MR485996
  3. [3] Kraft H., Geometrische Methoden in der Invariantentheorie, Vieweg Verlag, 1984. Zbl0569.14003MR768181
  4. [4] Littelmann P., Koreguläre und äquidimensionale Darstellungen, J. Algebra123 (1989) 193-222. Zbl0688.14042MR1000484
  5. [5] Popov V.L., Representations with a free module of covariants, Funct. Anal. Appl.10 (1977) 242-244. Zbl0365.20053MR417197
  6. [6] Ringel C.M., The rational invariants of tame quivers, Invent. Math.58 (1980) 217-239. Zbl0433.15009MR571574
  7. [7] Ringel C.M., Tame Algebras and Integral Quadratic Forms, Lecture Notes in Math., vol. 1099, Springer Verlag, 1984. Zbl0546.16013MR774589
  8. [8] Sato M., Kimura T., A classification of irreducible prehomogeneous vector spaces and their relative invariants, Nagoya J. Math.65 (1977) 1-155. Zbl0321.14030MR430336
  9. [9] Schofield A., Semi-invariants of quivers, J. London Math. Soc.43 (1991) 385-395. Zbl0779.16005MR1113382
  10. [10] Schwarz G.W., Representations of simple Lie groups with regular ring of invariants, Invent. Math.49 (1978) 167-191. Zbl0391.20032MR511189
  11. [11] Schwarz G.W., Representations of simple Lie groups with a free module of covariants, Invent. Math.50 (1978) 1-12. Zbl0391.20033MR516601
  12. [12] Schwarz G.W., Lifting smooth homotopies of orbit spaces, Inst. Hautes Études Sci. Publ. Math.51 (1980) 37-135. Zbl0449.57009MR573821

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