Tame algebras with strongly simply connected Galois coverings
Skowroński, Andrzej
Colloquium Mathematicae, Tome 72 (1997), p. 335-351 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)
Publié le : 1997-01-01
EUDML-ID : urn:eudml:doc:210469 
@article{bwmeta1.element.bwnjournal-article-cmv72i2p335bwm,
     author = {Andrzej Skowro\'nski},
     title = {Tame algebras with strongly simply connected Galois coverings},
     journal = {Colloquium Mathematicae},
     volume = {72},
     year = {1997},
     pages = {335-351},
     zbl = {0876.16007},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv72i2p335bwm}
}

Skowroński, Andrzej. Tame algebras with strongly simply connected Galois coverings. Colloquium Mathematicae, Tome 72 (1997) pp. 335-351. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv72i2p335bwm/

[000] [1] I. Assem and A. Skowroński, On some classes of simply connected algebras, Proc. London Math. Soc. 56 (1988), 417-450. | Zbl 0617.16018

[001] [2] I. Assem, A. Skowroński and B. Tomé, Coil enlargement of algebras, Tsukuba J. Math. 19 (1995), 453-479. | Zbl 0860.16014

[002] [3] R. Bautista, P. Gabriel, A. V. Roiter and L. Salmerón, Representation-finite algebras and multiplicative bases, Invent. Math. 81 (1985), 217-285. | Zbl 0575.16012

[003] [4] R. Bautista, F. Larrión and L. Salmerón, On simply connected algebras, J. London Math. Soc. 27 (1983), 212-220. | Zbl 0511.16022

[004] [5] K. Bongartz, Treue einfach zusammenhängende Algebren I, Comment. Math. Helv. 57 (1982), 282-330. | Zbl 0502.16022

[005] [6] K. Bongartz, Algebras and quadratic forms, J. London Math. Soc. 28 (1983), 461-469. | Zbl 0532.16020

[006] [7] K. Bongartz, Critical simply connected algebras, Manuscripta Math. 46 (1984), 117-136. | Zbl 0537.16024

[007] [8] -, A criterion for finite representation type, Math. Ann. 269 (1984), 1-12. | Zbl 0552.16012

[008] [9] K. Bongartz and P. Gabriel, Covering spaces in representation theory, Invent. Math. 65 (1982), 331-378. | Zbl 0482.16026

[009] [10] O. Bretscher and P. Gabriel, The standard form of a representation-finite algebra, Bull. Soc. Math. France 111 (1983), 21-40. | Zbl 0527.16021

[010] [11] W. Crawley-Boevey, Tame algebras and generic modules, Proc. London Math. Soc. 63 (1991), 241-265. | Zbl 0741.16005

[011] [12] P. Dowbor and A. Skowroński, On Galois coverings of tame algebras, Arch. Math. (Basel) 44 (1985), 522-529. | Zbl 0576.16029

[012] [13] P. Dowbor and A. Skowroński, Galois coverings of representation-infinite algebras, Comment. Math. Helv. 62 (1987), 311-337. | Zbl 0628.16019

[013] [14] Yu. A. Drozd, Tame and wild matrix problems, in: Representation Theory II, Lecture Notes in Math. 832, Springer, 1980, 242-258.

[014] [15] P. Gabriel, The universal cover of a representation-finite algebra, in: Representations of Algebras, Lecture Notes in Math. 903, Springer, 1981, 68-105.

[015] [16] C. Geiss, On degenerations of tame and wild algebras, Arch. Math. (Basel) 64 (1995), 11-16. | Zbl 0828.16013

[016] [17] D. Happel and D. Vossieck, Minimal algebras of infinite representation type with preprojective component, Manuscripta Math. 42 (1983), 221-243. | Zbl 0516.16023

[017] [18] O. Kerner, Tilting wild algebras, J. London Math. Soc. 39 (1989), 29-47. | Zbl 0675.16013

[018] [19] M. Lersch, Minimal wilde Algebren, Diplomarbeit, Düsseldorf, 1987.

[019] [20] R. Martínez-Villa and J. A. de la Peña, Automorphisms of a representationfinite algebra, Invent. Math. 72 (1983), 359-362. | Zbl 0491.16028

[020] [21] R. Nörenberg and A. Skowroński, Tame minimal non-polynomial growth simply connected algebras, preprint, Bielefeld, 1996. | Zbl 0866.16006

[021] [22] J. A. de la Peña, Algebras with hypercritical Tits form, in: Topics in Algebra, Banach Center Publ. 26, Part 1, PWN, Warszawa, 1990, 353-369.

[022] [23] J. A. de la Peña, Tame algebras with sincere directing modules, J. Algebra 161 (1993), 171-185. | Zbl 0808.16018

[023] [24] C. M. Ringel, Tame Algebras and Integral Quadratic Forms, Lecture Notes in Math. 1099, Springer, 1984.

[024] [25] A. Skowroński, Tame triangular matrix algebras over Nakayama algebras, J. London Math. Soc. 34 (1986), 245-264. | Zbl 0606.16021

[025] [26] A. Skowroński, Algebras of polynomial growth, in: Topics in Algebra, Banach Center Publ. 26, Part 1, PWN, Warszawa, 1990, 535-568.

[026] [27] A. Skowroński, Selfinjective algebras of polynomial growth, Math. Ann. 285 (1988), 177-199. | Zbl 0653.16021

[027] [28] A. Skowroński, Simply connected algebras and Hochschild cohomologies, in: Representations of Algebras, CMS Conf. Proc. 14, 1993, 431-447. | Zbl 0806.16012

[028] [29] A. Skowroński, Criteria for polynomial growth of algebras, Bull. Polish Acad. Sci. Math. 42 (1994), 173-183. | Zbl 0865.16011

[029] [30] A. Skowroński, Module categories over tame algebras, in: Representation Theory and Related Topics, Workshop Mexico 1994, CMS Conf. Proc. 19, 1996, 281-313. | Zbl 0856.16010

[030] [31] A. Skowroński, Simply connected algebras of polynomial growth, Compositio Math., in press. | Zbl 0889.16004

[031] [32] L. Unger, The concealed algebras of the minimal wild, hereditary algebras, Bayreuth. Math. Schr. 31 (1990), 145-154. | Zbl 0739.16012

[032] [33] J. Wittman, Verkleidete zahme und minimal wilde Algebren, Diplomarbeit, Bayreuth, 1990.