This is a preview of subscription content, log in via an institution to check access.
References
Auslander, M.: Existence theorems for almost split sequences. In: Ring Theory II. Proceedings of the Second Oklahoma Conference (Norman 1975), pp. 1–44. New York-Basel: Marcel Dekker 1977
Auslander, M.: Applications of morphisms determined by modules. In: Proceedings of the Conference on Representation Theory of Algebras (Philadelphia 1976), pp. 245–327. New York-Basel: Marcel Dekker 1978
Auslander, M., Goldman, O.: Maximal orders. Trans. Amer. Math. Soc.97, 1–24 (1960)
Auslander, M., Reiten, I.: Representation theory of Artin algebras IV. Comm. Algebra5, 443–518 (1977)
Bessenrodt, C.: Indecomposable lattices in blocks with cyclic defect groups. Preprint 1980
Feit, W.: Representations of finite groups. Lecture Notes. New Haven, Connecticut: Yale University 1969
Happel, D., Preiser, U., Ringel, C.M.: Vinberg's characterization of Dynkin diagrams using subadditive functions with application toDTr-periodic modules. In: Representation Theory II. Proceedings of the Second International Conference on Representations of Algebras. (Ottawa 1979), pp. 280–294. Lecture Notes in Mathematics832. Berlin-Heidelberg-New York: Springer 1980
Heller, A., Reiner, I.: Representations of cyclic groups in rings of integers I. Ann of Math. (2)76, 73–92 (1962)
Külshammer, B.: On the structure of block ideals in group algebras of finite groups. Comm. Algebra8, 1867–1872 (1980)
Michler, G.: Green correspondence between blocks with cyclic defect groups II. In: Representations of algebras. Proceedings of the International Conference (Ottawa 1974), pp. 210–235. Lectures Notes in Mathematics488. Berlin-Heidelberg-New York: Springer 1975
Riedtmann, C.: Algebren, Darstellungsköcher, Überlagerungen und zurück. Comment. Math. Helv.55, 199–224 (1980)
Roggenkamp, K.W.: The construction of almost split sequences for integral group rings and orders. Comm. Algebra5, 1363–1373 (1977)
Roggenkamp, K.W.: Integral representations and structure of finite group rings. Montréal: Les presses de l'Université de Montréal 1980
Wiedemann, A.: Orders with loops in their Auslander-Reiten graph. Comm. Algebra9, 641–656 (1981)
Wiedemann, A.: Brauer-Thrall I for orders and its application to orders with loops in their Auslander-Reiten graph. In: Proceedings of the Third International Conference on Representation Theory of Algebras (Puebla, Mexico 1980), (to appear)
Wiedemann, A.: On the structure of blocks with central defect groups. Preprint
Author information
Authors and Affiliations
Additional information
This paper contains the second part of my Thesis, written in Stuttgart 1980
Rights and permissions
About this article
Cite this article
Wiedemann, A. The Auslander-Reiten graph of integral blocks with cyclic defect two and their integral representations. Math Z 179, 407–429 (1982). https://doi.org/10.1007/BF01215343
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01215343