Abstract
A technique which is associated with the Benson―Carlson diagrammatic method is developed. Using this technique, we describe the Yoneda algebras of the algebras that constitute a series of algebras of dihedral type. We also describe the Ext-algebras of simple modules over the algebras considered. Bibliography: 6 titles.
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REFERENCES
K. Erdmann, “Algebras and dihedral defect groups,” Proc. London Math. Soc., 54, No. 1, 88–114 (1987).
K. Erdmann, “Blocks of tame representation type and related algebras,” Lect. Notes Math., 1428, Springer-Verlag, Berlin-New York (1990).
O. I. Balashov and A. I. Generalov, “Yoneda algebras for some class of dihedral algebras,” Vestn. St. Petersburg Univ., Ser. 1, 3, No. 15, 3–10 (1999).
D. J. Benson and J. F. Carlson, “Diagrammatic methods for modular representations and cohomology,” Commun. Algebra, 15, No. 1/2, 53–121 (1987).
S. MacLane, Homology, Springer-Verlag, Berlin (1963)
K. Erdmann, “Principal blocks of groups with dihedral Sylow 2-subgroups,” Commun. Algebra, 5, 665–694 (1997).
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Generalov, A.I. Cohomology of Algebras of Dihedral Type. I. Journal of Mathematical Sciences 112, 4318–4331 (2002). https://doi.org/10.1023/A:1020338801963
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DOI: https://doi.org/10.1023/A:1020338801963