Keywords
- Full Subcategory
- Path Algebra
- Indecomposable Module
- Indecomposable Object
- Indecomposable Representation
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Auslander, M.: Representation dimension of Artin algebras. Queen Mary College Mathematical Notes, London (1971)
Auslander, M.: Applications of morphisms determined by objects. Proc. Conf. Representation Theory, Philadelphia (1976). Marcel Dekker (1978), 245–327.
Auslander, M.; Platzek, M.I.; Reiten, I: Coxeter functors without diagrams. Trans. Amer. Math. Soc. 250 (1979), 1–46.
Auslander, M.; Reiten, I.: Representation theory of Artin algebras III, VI. Comm. Algebra 3 (1975), 239–294, 5 (1977), 443–518.
Bernstein, I.N.; Gelfand, I.M.; Ponomarev, V.A.: Coxeter functors and Gabriel's theorem. Uspechi Mat. Nauk 28 (1973); engl. transl. Russian Math. Surveys 28 (1973), 17–32.
Brenner, S.: Decomposition properties of some small diagrams of modules. Symposia Math. Ist. Naz. Alta Mat. 13 (1974), 127–141.
Brenner, S.: Quivers with commutativity conditions and some phenomenology of forms. In: Representations of algebras, Springer LNM. 488 (1975), 29–53.
Brenner, S.: Some co-rank 2 quivers-with-relations and their null roots. Report at ICRA II., see [9]
Brenner, S.; Butler, M.C.R.: Generalization of the Bernstein-Gelfand-Ponomarev reflection functors. These proceedings.
Brenner, S.; Butler, M.C.R.: A note on quadratic forms and representation type for certain algebras. To appear.
Dlab, V.; Ringel, C.M.: Indecomposable representations of graphs and algebras. Memoires Amer. Math. Soc. 173 (1976).
Donovan, P.; Freislich, M.R.: The representation theory of finite graphs and associated algebras. Carleton Lecture Notes 5, Ottawa (1973).
Donovan, P.; Freislich, M.R.: The indecomposable modular representations of certain groups with dihedral Sylow subgroups. Math. Ann. 238 (1978), 207–216.
Donovan, P.; Freislich, M.R.: Indecomposable representations of certain commutative quivers. Bull. Austral. Math. Soc. 20 (1979), 17–34.
Drozd, Ju.A.: Coxeter transformations and representations of partially ordered sets. Funkc. Anal. i. Pril. 8.3 (1974), 34–42. Engl. transl. Funct. Anal. Appl. 8 (1974), 219–225.
Drozd, Ju.A.: On tame and wild matrix problems. Matrix problems, Kiev (1977), 104–114.
Gabriel, P.: Unzerlegbare Darstellungen I. Manuscripta Math. 6 (1972), 71–103.
Gabriel, P.: Représentations indécomposables des ensembles ordonnés. Seminaire Dubreil (Algèbre) (1972–73), 301–304.
Gabriel, P.: Représentations indécomposables. Seminaire Bourbaki Nr. 444. In: Springer LNM.431 (1975).
Gabriel, P.: Trends in representation theory. Report at the workshop, Ottawa (1979).
Gelfand, I.M.; Ponomarev, V.A.: Indecomposable representations of the Lorentz group. Uspechi Mat. Nauk 23.2 (1968), 3–60. Engl. transl. Russian Math. Survey 23.2 (1968), 1–59.
Kleiner, M.M.: Partially ordered sets of finite type. Zap. Naučn. Sem. Lomi 28 (1972), 32–41. Engl. transl. J. Soviet Math. 23 (1975), 607–615.
Loupias, M.: Représentations indécomposables des ensembles ordonnés finis. Thèse Tours (1975). Summary: Indecomposable representations of finite ordered sets. In: Representations of Algebras, Springer LNM 488 (1975), 201–209.
Marmaridis, N.: Darstellungen endlicher Ordnungen. Dissertation Zürich (1978). Summary: Représentations linéaires des ensembles ordonnés. C.R. Acad. Sc. Paris. t. 288 (1979).
Müller, W.: Unzerlegbare Moduln über artinschen Ringen. Math. Z. 137 (1974), 197–226.
Nazarova, L.A.: Representations of quivers of infinite type. Izv. Akad. Nauk SSSR, Ser. Mat. 37 (1973), 752–791.
Nazarova, L.A.: The representations of partially ordered sets of infinite type. Izv. Akad. Nauk SSSR, Ser. Mat. 39 (1975), 963–991. Summary: Partially ordered sets with an infinite number of indecomposable representations. In: Representations of algebras. Springer LNM 488 (1975), 244–252.
Nazarova, L.A.; Rojter, A.V.: Representations of partially ordered sets. Zap. Naučn. Sem. LOMI 28 (1972), 5–31. Engl. transl.: J. Soviet Math. 23 (1975), 585–606.
Nazarova, L.A.; Rojter, A.V.: On a problem of I.M. Gelfand. Funkc. Anal. i. Pril. 7 (1973), 54–69. Engl. transl.: Funct. Anal. Appl. 7 (1973), 299–312.
Nazarova, L.A.; Rojter, A.V.: Categorical matrix problems and the Brauer-Thrall conjecture. Preprint. Inst. Math. Acad. Sci. Kiev (1973). German translation: Mitt. Math. Sem. Giessen 115 (1975).
Otrashevskaja, V.V.: On the representations of one-parameter partially ordered sets. Matrix problems. Kiev (1977), 144–149.
Riedtmann, Chr.: Algebren, DarstellungskÖcher, Überlagerungen und zurück. To appear in Comm. Helv.
Ringel, C.M.: The indecomposable representations of the dihedral 2-groups. Math. Ann. 214 (1975), 19–34.
Ringel, C.M.: The representation type of local algebras. In: Representations of Algebras. Springer LNM 488 (1975), 282–305.
Ringel, C.M.: Report on the Brauer-Thrall conjectures: Rojter's theorem and the theorem of Nazarova and Rojter (On algorithms for solving vector space problems I). These proceedings.
Shkabara, A.S.: Commutative quivers of tame type I. Preprint. Kiev (1978).
Shkabara, A.S.: Quivers with relations and DGC. Preprint. Kiev (1978).
Tachikawa, H.: Representations of algebras of trivial extensions. Report at ICRA II.
Zavadskij, A.G.: Quivers with a distinguished path and no cycles which are tame. Preprint. Kiev (1977).
Zavadskij, A.G.; Shkabara, A.S.: Commutative quivers and matrix algebras of finite type. Preprint. Kiev (1976).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1980 Springer-Verlag
About this chapter
Cite this chapter
Ringel, C.M. (1980). Tame algebras (on algorithms for solving vector space problems. II). In: Dlab, V., Gabriel, P. (eds) Representation Theory I. Lecture Notes in Mathematics, vol 831. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089781
Download citation
DOI: https://doi.org/10.1007/BFb0089781
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-10263-2
Online ISBN: 978-3-540-38385-7
eBook Packages: Springer Book Archive
