Geodesic
Hochschild cohomology for algebras of dihedral type.~VI. The family~$D(2\mathcal B)(k,s,1)$
Algebra i analiz, Tome 27 (2015) no. 6, pp. 89-116.

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A. I. Generalov; D. B. Romanova. Hochschild cohomology for algebras of dihedral type.~VI. The family~$D(2\mathcal B)(k,s,1)$. Algebra i analiz, Tome 27 (2015) no. 6, pp. 89-116. http://geodesic.mathdoc.fr/item/AA_2015_27_6_a5/

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

[2] Holm Th., “Derived equivalence classification of algebras of dihedral, semidihedral, and quaternion type”, J. Algebra, 211 (1999), 159–205 | DOI | MR | Zbl

[3] Generalov A. I., Kosovskaya N. Yu., “Kogomologii Khokhshilda algebr diedralnogo tipa. IV. Seriya $D(2\mathcal B)(k,s,0)$”, Zap. nauch. semin. POMI, 423, 2014, 67–104

[4] Bleher F. M., “Dihedral blocks with two simple modules”, Proc. Amer. Math. Soc., 138:10 (2010), 3467–3479 | DOI | MR | Zbl

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

[6] Generalov A. I., “Kogomologii Khokhshilda algebr diedralnogo tipa. II. Lokalnye algebry”, Zap. nauch. semin. POMI, 375, 2010, 92–129 | MR | Zbl

[7] Generalov A. I., “Kogomologii Khokhshilda algebr diedralnogo tipa. III. Lokalnye algebry v kharakteristike $2$”, Vestn. S.-Peterburg. un-ta. Ser. 1, 2010, no. 1, 28–38 | MR | Zbl

[8] Generalov A. I., Zilberbord I. M., Romanova D. B., “Kogomologii Khokhshilda algebr diedralnogo tipa. V. Seriya $D(3\mathcal K)$ v kharakteristike, otlichnoi ot $2$”, Zap. nauch. semin. POMI, 430, 2014, 74–102

[9] Generalov A. I., “Kogomologii Khokhshilda algebr poludiedralnogo tipa. I. Gruppovye algebry poludiedralnykh grupp”, Algebra i analiz, 21:2 (2009), 1–51 | MR | Zbl

[10] Generalov A. I., “Kogomologii Khokhshilda algebr poludiedralnogo tipa. II. Lokalnye algebry”, Zap. nauch. semin. POMI, 386, 2011, 144–202 | MR

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

[12] Generalov A. I., “Kogomologii Khokhshilda algebr poludiedralnogo tipa. IV. Algebra kogomologii dlya serii $SD(2\mathcal B)_2(k,t,c)$ pri $c=0$”, Zap. nauch. semin. POMI, 413, 2013, 45–92 | MR

[13] Generalov A. I., “Kogomologii Khokhshilda algebr kvaternionnogo tipa. I: obobschennye gruppy kvaternionov”, Algebra i analiz, 18:1 (2006), 55–107 | MR | Zbl

[14] Generalov A. I., Ivanov A. A., Ivanov S. O., “Kogomologii Khokhshilda algebr kvaternionnogo tipa. II. Seriya $Q(2\mathcal B)_1$ v kharakteristike $2$”, Zap. nauch. semin. POMI, 349, 2007, 53–134 | MR

[15] Generalov A. I., “Kogomologii Khokhshilda algebr kvaternionnogo tipa. III. Algebry s malym parametrom”, Zap. nauch. semin. POMI, 356, 2008, 46–84 | MR | Zbl

[16] Ivanov A. A., “Kogomologii Khokhshilda algebr kvaternionnogo tipa: seriya $Q(2\mathcal B)_1(k,s,a,c)$ nad polem kharakteristiki ne $2$”, Vestn. S.-Peterburg. un-ta. Ser. 1, 2010, no. 1, 63–72 | Zbl

[17] Erdmann K., Holm Th., Snashall N., “Twisted bimodules and Hochschild cohomology for self-injective algebras of class $A_n$. II”, Algebr. Represent. Theory, 5:5 (2002), 457–482 | DOI | MR | Zbl

[18] Generalov A. I., Kachalova M. A., “Bimodulnaya rezolventa algebry Mëbiusa”, Zap. nauch. semin. POMI, 321, 2005, 36–66 | MR | Zbl

[19] Kachalova M. A., “Kogomologii Khokhshilda algebry Mëbiusa”, Zap. nauch. semin. POMI, 330, 2006, 173–200 | MR | Zbl

[20] Pustovykh M. A., “Koltso kogomologii Khokhshilda algebry Mëbiusa”, Zap. nauch. semin. POMI, 388, 2011, 210–246 | MR

[21] Volkov Yu. V., Generalov A. I., “Kogomologii Khokhshilda samoin'ektivnykh algebr drevesnogo tipa $D_n$. I”, Zap. nauch. semin. POMI, 343, 2007, 121–182 | MR

[22] Volkov Yu. V., “Kogomologii Khokhshilda samoin'ektivnykh algebr drevesnogo tipa $D_n$. II”, Zap. nauch. semin. POMI, 365, 2009, 63–121 | MR | Zbl

[23] Volkov Yu. V., Generalov A. I., “Kogomologii Khokhshilda samoin'ektivnykh algebr drevesnogo tipa $D_n$. III”, Zap. nauch. semin. POMI, 386, 2011, 100–128 | MR

[24] Volkov Yu. V., “Kogomologii Khokhshilda nestandartnykh samoin'ektivnykh algebr drevesnogo tipa $D_n$”, Zap. nauch. semin. POMI, 388, 2011, 48–99 | MR

[25] Volkov Yu. V., “Algebra kogomologii Khokhshilda dlya odnoi serii samoin'ektivnykh algebr drevesnogo tipa $D_n$”, Algebra i analiz, 23:5 (2011), 99–139 | MR

[26] Volkov Yu. V., “Kogomologii Khokhshilda samoin'ektivnykh algebr drevesnogo tipa $D_n$. IV”, Zap. nauch. semin. POMI, 388, 2011, 100–118 | MR

[27] Volkov Yu. V., “Kogomologii Khokhshilda samoin'ektivnykh algebr drevesnogo tipa $D_n$. V”, Zap. nauch. semin. POMI, 394, 2011, 140–173 | MR

[28] Pustovykh M. A., “Koltso kogomologii Khokhshilda samoin'ektivnykh algebr drevesnogo tipa $E_6$”, Zap. nauch. semin. POMI, 423, 2014, 205–243

[29] Generalov A. I., Kosovskaya N.|Yu., “Kogomologii Khokhshilda algebr Lyu–Shultsa”, Algebra i analiz, 18:4 (2006), 39–82 | MR | Zbl

[30] Holm Th., “Hochschild cohomology of tame blocks”, J. Algebra, 271:2 (2004), 798–826 | DOI | MR | Zbl

[31] Wall C. T. C., “Resolutions for extensions of groups”, Proc. Cambridge Phil. Soc., 57 (1961), 251–255 | DOI | MR | Zbl

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

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