Cohomology of algebras of semidihedral type, IV
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 11, Tome 319 (2004), pp. 81-116 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice du chapitre de livre

The present paper continues the cycle of papers of the author (some among them – in collaboration), in which the Yoneda algebra are calculated for several families of algebras of dihedral and semidihedral type (in K. Erdmann's classification). In the paper, the Yoneda algebra are described (in terms of quivers with relations) for algebras of semidihedral type, namely of the families $SD(2\mathcal{A})_1$, $SD(2\mathcal{A})_2$ and $SD(3\mathcal{A})_2$.
@article{ZNSL_2004_319_a3,
     author = {A. I. Generalov},
     title = {Cohomology of algebras of semidihedral {type,~IV}},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {81--116},
     year = {2004},
     volume = {319},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2004_319_a3/}
}
TY  - JOUR
AU  - A. I. Generalov
TI  - Cohomology of algebras of semidihedral type, IV
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 2004
SP  - 81
EP  - 116
VL  - 319
UR  - http://geodesic.mathdoc.fr/item/ZNSL_2004_319_a3/
LA  - ru
ID  - ZNSL_2004_319_a3
ER  - 
%0 Journal Article
%A A. I. Generalov
%T Cohomology of algebras of semidihedral type, IV
%J Zapiski Nauchnykh Seminarov POMI
%D 2004
%P 81-116
%V 319
%U http://geodesic.mathdoc.fr/item/ZNSL_2004_319_a3/
%G ru
%F ZNSL_2004_319_a3
A. I. Generalov. Cohomology of algebras of semidihedral type, IV. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 11, Tome 319 (2004), pp. 81-116. http://geodesic.mathdoc.fr/item/ZNSL_2004_319_a3/

[1] A. I. Generalov, “Kogomologii algebr diedralnogo tipa, I”, Zap. nauchn. semin. POMI, 265, 1999, 139–162 | MR

[2] O. I. Balashov, A. I. Generalov, “Algebry Ionedy dlya odnogo klassa diedralnykh algebr”, Vestnik S.-Peterb. un-ta. Ser. 1, 1999, no. 3, 3–10 | MR | Zbl

[3] O. I. Balashov, A. I. Generalov, “Kogomologii algebr diedralnogo tipa, II”, Algebra i analiz, 13:1 (2001), 3–25 | MR

[4] A. I. Generalov, E. A. Osiyuk, “Kogomologii algebr diedralnogo tipa, III: seriya $D(2\mathcal{A})$”, Zap. nauchn. semin. POMI, 289, 2002, 113–133 | MR | Zbl

[5] A. I. Generalov, “Kogomologii algebr diedralnogo tipa, IV: seriya $D(2\mathcal{B})$”, Zap. nauchn. semin. POMI, 289, 2002, 76–89 | MR | Zbl

[6] A. I. Generalov, “Kogomologii algebr poludiedralnogo tipa, I”, Algebra i analiz, 13:4 (2001), 54–85 | MR | Zbl

[7] N. V. Kosmatov, “Cohomology of algebras of dihedral type: automatic calculation”, Mezhdunarodnaya algebraicheskaya konferentsiya, posvyaschennaya pamyati Z. I. Borevicha (S.-Peterburg, 17–23 sentyabrya, 2002), 2002, 115–116

[8] M. A. Antipov, A. I. Generalov, “Kogomologii algebr poludiedralnogo tipa, II”, Zap. nauchn. semin. POMI, 289, 2002, 9–36 | MR | Zbl

[9] A. I. Generalov, “Kogomologii algebr poludiedralnogo tipa, III: seriya $SD(3\mathcal{K})$”, Zap. nauchn. semin. POMI, 305, 2003, 84–100 | MR

[10] A. I. Generalov, N. V. Kosmatov, “Computation of the Yoneda algebras of dihedral type”, Zap. nauchn. semin. POMI, 305, 2003, 101–120 | MR

[11] K. Erdmann, Blocks of tame representation type and related algebras, Lect. Notes Math., 1428, Berlin–Heidelberg, 1990 | MR | Zbl

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

[13] C. A. Weibel, An Introduction to Homological Algebra, Cambridge Univ. Press, Cambridge, 1994 | MR | Zbl