Auslander-Reiten components for concealed-canonical algebras

• Autorzy: Hagen Meltzer
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1996
• Tom: 71
• Numer: 2
• Strony: 183-202

Daty

wydano

1996

otrzymano

1995-11-15

Twórcy

autor

Hagen Meltzer

• Technische Universität Chemnitz-Zwickau, Fakultät für Mathematik, 09107 Chemnitz, Germany

Bibliografia

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• [2] W. Geigle and H. Lenzing, - Perpendicular categories with applications to representations and sheaves, J. Algebra 144 (1991), 273-343.
• [3] D. Happel, I. Reiten and S. Smalο, Tilting in abelian categories and quasitilted algebras, Mem. Amer. Math. Soc. 575 (1996).
• [4] D. Happel and C. M. Ringel, Tilted algebras, Trans. Amer. Math. Soc. 274 (1982), 399-443.
• [5] M. Hoshino, On splitting torsion theories induced by tilting modules, Comm. Algebra 11 (1983), 493-500.
• [6] T. Hübner and H. Lenzing, Categories perpendicular to exceptional bundles, preprint, 1993.
• [7] O. Kerner, Tilting wild algebras, J. London Math. Soc. 39 (1989), 29-47.
• [8] O. Kerner, Stable components of wild tilted algebras, J. Algebra 142 (1991), 37-57.
• [9] H. Lenzing and H. Meltzer, Sheaves on a weighted projective line of genus one and representations of a tubular algebra, in: Representations of Algebras, Sixth International Conference, Ottawa 1992, CMS Conf. Proc. 14, 1993, 317-337.
• [10] H. Lenzing and H. Meltzer, Tilting sheaves and concealed-canonical algebras, in: Proceedings of the Seventh International Conference on Representations of Algebras, Cocoyoc, Mexico, 1994, CMS Conf. Proc. 18, 1996, 455-473.
• [11] H. Lenzing and J. A. de la Pe na, Wild canonical algebras, Math. Z., to appear.
• [12] C. M. Ringel, Finite dimensional algebras of wild representation type, Math. Z. 161 (1978), 235-255.
• [13] C. M. Ringel, Tame Algebras and Integral Quadratic Forms, Lecture Notes in Math. 1099, Springer, 1984.
• [14] H. Strauss, On the perpendicular category of a partial tilting module, J. Algebra 144 (1991), 43-66.