Hochschild cohomology for algebras of semidihedral type. VIII. The family $SD(2\mathcal B)_1$
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 32, Tome 460 (2017), pp. 35-52 Cet article a éte moissonné depuis la source Math-Net.Ru

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We compute the Hochschild cohomology groups for algebras of semidihedral type which are contained in the family $SD(2\mathcal B)_1$ (from the famous K. Erdmann's classification). In the calculation, we use the beforehand construction of the minimal bimodule resolution for algebras from the family under discussion.
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A. I. Generalov; A. A. Zaikovskiy. Hochschild cohomology for algebras of semidihedral type. VIII. The family $SD(2\mathcal B)_1$. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 32, Tome 460 (2017), pp. 35-52. http://geodesic.mathdoc.fr/item/ZNSL_2017_460_a1/

[1] A. I. Generalov, A. A. Zaikovskii, “O proizvodnoi ekvivalentnosti algebr poludiedralnogo tipa s dvumya prostymi modulyami”, Zap. nauchn. semin. POMI, 452, 2016, 70–85 | MR

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

[3] A. I. Generalov, “Kogomologii Khokhshilda algebr poludiedralnogo tipa, III. Seriya $SD(2\mathcal B)_2$ v kharakteristike $2$”, Zap. nauchn. semin. POMI, 400, 2012, 133–157 | MR

[4] A. I. Generalov, “Kogomologii Khokhshilda algebr poludiedralnogo tipa, VI. Seriya $SD(2\mathcal B)_2$ v kharakteristike, otlichnoi ot $2$”, Zap. nauchn. semin. POMI, 443, 2016, 61–77 | MR

[5] A. I. Generalov, “Kogomologii Khokhshilda algebr poludiedralnogo tipa, VII. Algebry s malym parametrom”, Zap. nauchn. semin. POMI, 452, 2016, 52–69 | MR

[6] K. Erdmann, “Algebras and semidihedral defect groups, I”, Proc. London Math. Soc., 57:1 (1988), 109–150 | DOI | MR | Zbl

[7] K. Erdmann, “Algebras and semidihedral defect groups, II”, Proc. London Math. Soc., 60:1 (1990), 123–165 | DOI | MR | Zbl

[8] Yu. V. Volkov, A. I. Generalov, S. O. Ivanov, “O postroenii bimodulnykh rezolvent s pomoschyu lemmy Khappelya”, Zap. nauchn. semin. POMI, 375, 2010, 61–70 | Zbl

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