Degenerations for indecomposable modules and tame algebras

 Access to full text

 Full (PDF)

1. [1] S. ABEASIS and A. DEL FRA, Degenerations for the representations of quiver of type Am (J. Algebra, Vol. 93, 1985, pp. 376-412). Zbl0598.16030MR86j:16028
2. [2] S. ABEASIS and A. DEL FRA, Degenerations for the representations of an equioriented quiver of type Dm (Adv. Math., Vol. 52, 1984, pp. 81-172). Zbl0537.16025MR86g:16039
3. [3] I. ASSEM and A. SKOWROŃSKI, On some classes of simply connected algebras (Proc. London Math. Soc., Vol. 56, 1988, pp. 417-450). Zbl0617.16018MR89f:16023a
4. [4] I. ASSEM and A. SKOWROŃSKI, Minimal representation-infinite coil algebras (Manuscr. Math., Vol. 67, 1990, pp. 305-331). Zbl0696.16023MR91h:16025
5. [5] I. ASSEM and A. SKOWROŃSKI, Indecomposable modules over multicoil algebras (Math. Scand., Vol. 71, 1992, pp. 131-161). Zbl0796.16014MR94c:16020
6. [6] I. ASSEM and A. SKOWROŃSKI, Multicoil algebras (CMS Conf. Proc., Vol. 14, 1993, pp. 29-68). Zbl0827.16010
7. [7] I. ASSEM, A. SKOWROŃSKI and B. TOMÉ, Coil enlargements of algebras (Tsukuba J. Math., Vol. 19, 1995, pp. 453-479). Zbl0860.16014MR97a:16033
8. [8] M. AUSLANDER, Representation theory of finite dimensional algebras, (Contemp. Math., Vol. 13, 1982, pp. 27-39). Zbl0529.16020MR84b:16031
9. [9] M. AUSLANDER, M. I. PLATZECK and I. REITEN, Coxeter functors without diagrams (Trans. Amer. Math. Soc., Vol. 250, 1979, pp. 1-12). Zbl0421.16016MR80c:16027
10. [10] M. AUSLANDER and I. REITEN, Modules determined by their composition factors (Illinois J. Math., Vol. 29, 1985, pp. 289-301). Zbl0539.16011MR86i:16032
11. [11] K. BONGARTZ, A generalization of theorem of M. Auslander (Bull. London Math. Soc., Vol. 21, 1989, pp. 255-256). Zbl0669.16018MR90b:16031
12. [12] K. BONGARTZ, On degenerations and extensions of finite dimensional modules (Adv. Math., Vol. 121, 1996, pp. 245-287). Zbl0862.16007MR98e:16012
13. [13] K. BONGARTZ, Minimal singularities for representations of Dynkin quivers (Comment. Math. Helv., Vol. 69, 1994 pp. 575-611). Zbl0832.16008MR96f:16016
14. [14] K. BONGARTZ, Degenerations for representations of tame quivers, (Ann. Scient. Ec. Norm. Sup., Vol. 28, 1995, pp. 647-668). Zbl0844.16007MR96i:16020
15. [15] K. BONGARTZ and P. GABRIEL, Covering spaces in representation theory (Invent. Math., Vol. 65, 1982, pp. 331-378). Zbl0482.16026MR84i:16030
16. [16] YU A. DROZD, Tame and wild matrix problems, (Lecture Notes in Math. Vol. 832, 1980, pp. 242-258). Zbl0457.16018MR83b:16024
17. [17] D. HAPPEL, I. REITEN and S. O. SMALØ, Tilting in abelian categories and quasitilted algebras (Memoirs Amer. Math. Soc., Vol. 575, 1996). Zbl0849.16011
18. [18] D. HAPPEL and C. M. RINGEL, Tilted algebras (Trans. Amer. Math. Soc., Vol. 274, 1982, pp. 299-343). Zbl0503.16024MR84d:16027
19. [19] O. KERNER, Tilting wild algebras, (J. London Math. Soc., Vol. 39, 1989, pp. 29-47). Zbl0675.16013MR90d:16025
20. [20] H. LENZING and H. MELZER, Tilting sheaves and concealed-canonical algebras (CMS Conf. Proc., Vol. 18, 1996, pp. 455-473). Zbl0863.16013MR97f:16026
21. [21] H. LENZING and J. A. DE LA PEÑ;A, Concealed-canonical algebras and separating tubular families (Proc. London Math. Soc., in press). Zbl1035.16009
22. [22] H. LENZING and A. SKOWROŃSKI, Quasi-tilted algebras of canonical type (Colloq. Math., Vol. 71(2), 1996, pp. 161-181). Zbl0870.16007MR97j:16019
23. [23] S. LIU, Semi-stable components of an Auslander-Reiten quiver (J. London Math. Soc., Vol. 47, 1993 ; pp. 405-416). Zbl0818.16015MR94a:16024
24. [24] S. LIU, Infinite radicals in standard Auslander-Reiten components, (J. Algebra, Vol. 166, 1994, pp. 245-254). Zbl0809.16016MR95g:16014
25. [25] R. NÖRENBERG and A. SKOWROŃSKI, Tame minimal non-polynomial growth simply connected algebras (Coll. Math., Vol. 73(2), 1997, pp. 301-330). Zbl0889.16005MR98f:16012
26. [26] C. RIEDTMANN, Degenerations for representations of quivers with relations (Ann. Sci. Ecole Norm. Sup., Vol. 4, 1986, pp. 275-301). Zbl0603.16025MR88b:16051
27. [27] C. M. RINGEL, Tame algebras and integral quadratic forms (Lecture Notes in Math., Vol. 1099, 1984). Zbl0546.16013MR87f:16027
28. [28] A. SKOWROŃSKI, Algebras of polynomial growth (Topics in Algebra, Banach Center Publ., Vol. 26, Part 1 (Warszawa 1990), pp. 535-568). Zbl0729.16005MR93k:16026
29. [29] A. SKOWROŃSKI, Simply connected algebras and Hochschild cohomologies (CMS Conf. Proc., Vol. 14, 1993, pp. 431-447). Zbl0806.16012
30. [30] A. SKOWROŃSKI, Cycles in module categories (NATO ASI Series, Series C, Vol. 424, 1994, pp. 309-345). Zbl0819.16013MR96a:16010
31. [31] A. SKOWROŃSKI, Generalized standard Auslander-Reiten components (J. Math. Soc. Japan, Vol. 46, 1994, pp. 517-543). Zbl0828.16011MR95d:16022
32. [32] A. SKOWROŃSKI, On semiregular Auslander-Reiten components (Bull. Polish Acad. Sci., Mathematics, Vol. 42, 1994, pp. 157-163). Zbl0828.16016
33. [33] A. SKOWROŃSKI, On omnipresent tubular families of modules (CMS Conf. Proc., Vol. 18, 1996, pp. 641-657). Zbl0865.16013MR97f:16032
34. [34] A. SKOWROŃSKI, Simply connected algebras of polynomial growth (Compositio Math., Vol. 109, 1997, pp. 99-133). Zbl0889.16004MR98k:16019
35. [35] A. SKOWROŃSKI, Tame quasi-tilted algebras (J. Algebra, in press). Zbl0908.16013
36. [36] A. SKOWROŃSKI and M. WENDERLICH, Artin algebras with directing indecomposable projective modules (J. Algebra, Vol. 165, 1994, pp. 507-530). Zbl0841.16014MR95e:16010
37. [37] A. SKOWROŃSKI and G. ZWARA, On degenerations of modules with nondirecting indecomposable summands (Canad. J. Math., Vol. 48(5), 1996, pp. 1091-1120). Zbl0867.16006MR98a:16021
38. [38] L. UNGER, The concealed algebras of the minimal wild, hereditary algebras (Bayreuther Math. Schriften, Vol. 31, 1990, pp. 145-154). Zbl0739.16012MR91i:16033
39. [39] G. ZWARA, Degenerations in the module varietes of generalized standard Auslander-Reiten components (Colloq. Math., Vol. 72(2), 1997, pp. 281-303). Zbl0890.16006MR98a:16022

1. Grzegorz Bobiński, Andrzej Skowroński, Geometry of modules over tame quasi-tilted algebras