Geodesic
Cohomology of algebras of semidihedral type. V
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 13, Tome 330 (2006), pp. 131-154 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 is described (in terms of quivers with relations) for algebras of semidihedral type, namely of the family $SD(3\mathcal B)_1$. 
@article{ZNSL_2006_330_a6,
     author = {A. I. Generalov},
     title = {Cohomology of algebras of semidihedral {type.~V}},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {131--154},
     year = {2006},
     volume = {330},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2006_330_a6/}
}
TY  - JOUR
AU  - A. I. Generalov
TI  - Cohomology of algebras of semidihedral type. V
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 2006
SP  - 131
EP  - 154
VL  - 330
UR  - http://geodesic.mathdoc.fr/item/ZNSL_2006_330_a6/
LA  - ru
ID  - ZNSL_2006_330_a6
ER  - 
%0 Journal Article
%A A. I. Generalov
%T Cohomology of algebras of semidihedral type. V
%J Zapiski Nauchnykh Seminarov POMI
%D 2006
%P 131-154
%V 330
%U http://geodesic.mathdoc.fr/item/ZNSL_2006_330_a6/
%G ru
%F ZNSL_2006_330_a6
A. I. Generalov. Cohomology of algebras of semidihedral type. V. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 13, Tome 330 (2006), pp. 131-154. http://geodesic.mathdoc.fr/item/ZNSL_2006_330_a6/

[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, 3:15 (1999), 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, “Kogomologii algebr poludiedralnogo tipa, I”, Algebra i analiz, 13:4 (2001), 54–85 | MR | Zbl

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

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

[7] N. V. Kosmatov, “Cohomology of algebras of dihedral type: automatic calculation”, Mezhdunarodn. alg. konf., posv. pamyati Z. I. Borevicha (S.-Pb., 17–23 sent.), 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 $SD(3\mathrm{K})$”, 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] A. I. Generalov, “Kogomologii algebr poludiedralnogo tipa, IV”, Zap. nauchn. semin. POMI, 319, 2004, 81–116 | MR | Zbl

[12] A. I. Generalov, N. V. Kosmatov, “Proektivnye rezolventy i algebry Ionedy dlya algebr diedralnogo tipa: seriya $D(3\mathrm{Q})$”, Fund. i prikl. matem., 10:4 (2004), 65–89 | MR | Zbl

[13] K. Erdmann, “Blocks of tame representation type and related algebras”, Lect. Notes Math., 1428, Berlin et al., 1990 | MR | Zbl

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

[15] A. I. Generalov, “Kogomologii Khokhshilda algebr diedralnogo tipa, I: seriya $D(3\mathrm{K})$ v kharakteristike $2$”, Algebra i analiz, 16:6 (2004), 53–122 | MR

[16] C. A. Weibel, An introduction to homological algebra, Cambridge Univ. Press, Cambridge, 1994 | MR | Zbl