Quiver representations

Notices of the American Mathematical Society

Volumn 52, Issue 2, 2005, Pages 200-206

  Derksen, Harm ^a   Weyman, Jerzy ^b  

^a UNIVERSITY OF MICHIGAN   (United States)

^b NORTHEASTERN UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 27844535722     PISSN: 00029920     EISSN: 10889477     Source Type: Journal    
DOI: None     Document Type: Article

References (21)

1. M. AUSLANDER, I. REITEN, and S. SMALØ, Representation Theory of Artin Algebras, Cambridge Studies in Advanced Mathematics Vol. 36, Cambridge University Press, Cambridge, 1997 (reprint of 1995 original).
2. L. N. BERNSTEIN, I. M. GELFAND, and V. A. PONOMAREV, Coxeter functors and Gabriel's theorem (Russian), Uspehi Math. Nauk 28 (1973), no. 2 (170), 19-33;
3. English translation: Russian Math. Surveys 28 (1973), no. 2, 17-32, 197.
4. W. W. CRAWLEY-BOEVEY, On tame algebras and bocses, Proc. London Math. Soc. (3) 56 (1988), no. 3, 451-483.
5. H. DERKSEN and J. WEYMAN, On canonical decomposition for quiver representations, Compositio Math. 133, no. 3 (2002), 245-265.
6. P. DONOVAN and M. R. FREISLICH, The Representation Theory of Finite Graphs and Associated Algebras, Carleton Math. Lecture Notes 5, Carleton University, Ottawa, 1973.
7. V. DLAB and C. M. RINGEL, Indecomposable representations of graphs and algebras, Memoirs Amer. Math. Soc. 6 (1976), no. 173.
8. JU. A. DROZD, Tame and wild matrix problems (Russian), Representations and Quadratic Forms, 39-74, 154,
9. Akad. Nauk Ukrain. SSR, Inst. Mat., Kiev, 1979
10. translated in: Amer. Math. Soc. Transl. (2) 128 (1986), 31-55.
11. P. GABRIEL, Unzerlegbare Darstellungen I, Manuscr. Math. 6 (1972), 71-103.
12. V. G. KAC, Infinite root systems, representations of graphs and invariant theory, Invent. Math. 56 (1980), no. 1, 57-92.
13. _, Infinite root systems, representations of graphs and invariant theory II, J. Algebra 78 (1982), no. 1, 141-162.
14. _, Root systems, representations of quivers and invariant theory, Invariant Theory, Proc. 1st 1982 Sess. C.I.M.E., Montecatini/Italy, Lecture Notes in Math. 996, Springer, 74-108 (1983).
15. A. D. KING, Moduli of representations of finite-dimensional algebras, Quart. J. Math. Oxford Ser. (2) 45 (1994), no. 180, 515-530.
16. H. KRAFT and CH. RIEDTMANN, Geometry of representations of quivers, Representations of Algebras (Durham, 1985), 109-145,
17. London Math. Soc. Lecture Note Ser. 116, Cambridge Univ. Press, Cambridge, 1986.
18. L. A. NAZAROVA, Representations of quivers of infinite type (Russian), Izv. Akad. Nauk SSSR Ser. Mat. 37 (1973), 752-791.
19. C. M. RINGEL, Hall algebras and quantum groups, Invent. Math. 101 (1990), no. 3, 583-591.
20. A. SCHOFIELD, General representations of quivers, Proc. London Math. Soc. (3) 65 (1992) 46-64.
21. 2, Indag. Math. (N.S.) 12 (2001), no. 3, 433-448.