Geodesic
Computation of the Yoneda algebras for algebras of dihedral type
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 10, Tome 305 (2003), pp. 101-120 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice du chapitre de livre

We continue a series of papers in which the Yoneda algebra is computed for algebras of dihedral and semidihedral types. In this paper, the Yoneda algebra is computed for one more family of algebras, namely, for the family $D(3\mathcal L)$ (in the classification of K. Erdmann). In order to find the minimal resolutions of simple modules, we used for the first time a $C^{++}$ program implemented by the second author. 
@article{ZNSL_2003_305_a5,
     author = {A. I. Generalov and N. V. Kosmatov},
     title = {Computation of the {Yoneda} algebras for algebras of dihedral type},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {101--120},
     year = {2003},
     volume = {305},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2003_305_a5/}
}
TY  - JOUR
AU  - A. I. Generalov
AU  - N. V. Kosmatov
TI  - Computation of the Yoneda algebras for algebras of dihedral type
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 2003
SP  - 101
EP  - 120
VL  - 305
UR  - http://geodesic.mathdoc.fr/item/ZNSL_2003_305_a5/
LA  - en
ID  - ZNSL_2003_305_a5
ER  - 
%0 Journal Article
%A A. I. Generalov
%A N. V. Kosmatov
%T Computation of the Yoneda algebras for algebras of dihedral type
%J Zapiski Nauchnykh Seminarov POMI
%D 2003
%P 101-120
%V 305
%U http://geodesic.mathdoc.fr/item/ZNSL_2003_305_a5/
%G en
%F ZNSL_2003_305_a5
A. I. Generalov; N. V. Kosmatov. Computation of the Yoneda algebras for algebras of dihedral type. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 10, Tome 305 (2003), pp. 101-120. http://geodesic.mathdoc.fr/item/ZNSL_2003_305_a5/

[1] K. Erdmann, Blocks of tame representation type and related algebras, Lecture Notes in Math., 1428, Springer-Verlag, Berlin, 1990 | MR | Zbl

[2] D. J. Benson, J. F. Carlson, “Diagrammatic methods for modular representations and cohomology”, Commun. Algebra, 15:1–2 (1987), 53–121 | DOI | MR | Zbl

[3] A. I. Generalov, “Cohomology of algebras of dihedral type, I”, Zap. Nauchn. Semin. POMI, 265, 1999, 139–162 | MR

[4] O. I. Balashov, A. I. Generalov, “The Yoneda algebras for some class of dihedral algebras”, Vestnik St. Peterburg Univ., Ser. 1, 3:15 (1999), 3–10 | MR | Zbl

[5] O. I. Balashov, A. I. Generalov, “Cohomology of algebras of dihedral type, II”, Algebra Analiz, 13:1 (2001), 3–25 | MR

[6] A. I. Generalov, “Cohomology of algebras of semidihedral type, I”, Algebra Analiz, 13:4 (2001), 54–85 | MR | Zbl

[7] M. A. Antipov, A. I. Generalov, “Cohomology of algebras of semidihedral type, II”, Zap. Nauchn. Semin. POMI, 289, 2002, 9–36 | MR | Zbl

[8] A. I. Generalov, E. A. Osiuk, “Cohomology of algebras of dihedral type, III: $D(2\mathcal{A})$”, Zap. Nauchn. Semin. POMI, 289, 2002, 113–133 | Zbl

[9] A. I. Generalov, “Cohomology of algebras of dihedral type, IV: $D(2\mathcal{B})$”, Zap. Nauchn. Semin. POMI, 289, 2002, 76–89 | MR | Zbl

[10] S. MacLane, Homology, Grundlehren Math. Wiss., 114, Springer-Verlag, Berlin et al., 1963 | MR | Zbl