Varieties of modules over tubular algebras

Colloquium Mathematicum

Volumn 95, Issue 2, 2003, Pages 163-183

  Geiss, Christof ^a   Schröer, Jan ^b  

^a UNIVERSIDAD NACIONAL AUTÓNOMA DE MÉXICO   (Mexico)

^b UNIVERSITY OF LEEDS   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84979596546     PISSN: 00101354     EISSN: 17306302     Source Type: Journal    
DOI: 10.4064/cm95-2-2     Document Type: Article

References (20)

1. G. Bobiński and A. Skowroński, Geometry of modules over tame quasi-tilted algebras, Colloq. Math. 79 (1999), 85–118.
2. G. Bobiński and A. Skowroński, Geometry of periodic modules over tame concealed and tubular algebras, Algebras Represent. Theory 5 (2002), 187–200.
3. K. Bongartz, Algebras and quadratic forms, J. London Math. Soc. (2) 28 (1983), 461–469.
4. K. Bongartz, A geometric version of the Morita equivalence, J. Algebra 139 (1991), 159–171.
5. 4, J. Algebra. 234 (2000), 545–603.
6. W. Crawley-Boevey and J. Schröer, Irreducible components of varieties of modules, J. Reine Angew. Math. 553 (2002), 201–220.
7. V. Dlab and C. M. Ringel, The module theoretical approach to quasi-hereditary algebras, in: Representations of Algebras and Related Topics (Kyoto, 1990), London Math. Soc. Lecture Note Ser. 168, Cambridge Univ. Press, Cambridge, 1992, 200–224.
8. M. Domokos and H. Lenzing, Invariant theory of canonical algebras, J. Algebra 228 (2000), 738–762.
9. P. Dowbor and A. Skowroński, Galois coverings of representation-infinite algebras, Comment. Math. Helv. 62 (1987), 311–337.
10. P. Gabriel, The universal cover of a representation-finite algebra, in: Representations of Algebras (Puebla, 1980), Lecture Notes in Math. 903, Springer, Berlin, 1981, 68–105.
11. D. Happel, Triangulated Categories in the Representation Theory of Finite-Dimensional Algebras, London Math. Soc. Lecture Note Ser. 119, Cambridge Univ. Press, Cambridge, 1988.
12. D. Happel, I. Reiten and S. Smalø, Piecewise hereditary algebras, Arch. Math. (Basel) 66 (1996), 182–186.
13. D. Happel and C. M. Ringel, The derived category of a tubular algebra, in: Representation Theory, I (Ottawa, ON, 1984), Lecture Notes in Math. 1177, Springer, Berlin, 1986, 156–180.
14. L. Hille and G. Röhrle, A classification of parabolic subgroups of classical groups with a finite number of orbits on the unipotent radical, Transform. Groups 4 (1999), 35–52.
15. H. Lenzing and H. Meltzer, Sheaves on a weighted projective line of genus one, and representations of a tubular algebra, in: Representations of Algebras (Ottawa, ON, 1992), CMS Conf. Proc. 14, Amer. Math. Soc., Providence, RI, 1993, 313–337.
16. G. Lusztig, Quivers, perverse sheaves, and quantized enveloping algebras, J. Amer. Math. Soc. 4 (1991), 365–421.
17. C. M. Ringel, Tame Algebras and Integral Quadratic Forms, Lecture Notes in Math. 1099, Springer, Berlin, 1984.
18. A. Schofield, General representations of quivers, Proc. London Math. Soc. (3) 65 (1992), 46–64.
19. A. Skowroński, On the composition factors of periodic modules, J. London Math. Soc. (2) 49 (1994), 477–492.
20. D. Voigt, Induzierte Darstellungen in der Theorie der endlichen, algebraischen Gruppen, Lecture Notes in Math. 592, Springer, Berlin, 1977.