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, 27:6 (2015), 89–116; St. Petersburg Math. J., 27:6 (2016), 923

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Algebra i Analiz, 2015, Volume 27, Issue 6, Pages 89–116 (Mi aa1468)

This article is cited in 10 scientific papers (total in 10 papers)

Research Papers

Hochschild cohomology for algebras of dihedral type. VI. The family $D(2\mathcal B)(k,s,1)$

A. I. Generalov^a, D. B. Romanova^b

^a St. Petersburg State University, Department of Mathematics and Mechanics, St. Petersburg, Russia
^b St. Petersburg, Russia

Full-text PDF (313 kB) Citations (10)

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Funding agency	Grant number
Russian Foundation for Basic Research	13-01-00902

Received: 10.06.2015

English version:
St. Petersburg Mathematical Journal, 2016, Volume 27, Issue 6, Pages 923–940
DOI: https://doi.org/10.1090/spmj/1427

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: 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, 27:6 (2015), 89–116; St. Petersburg Math. J., 27:6 (2016), 923–940

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/aa1468

https://www.mathnet.ru/eng/aa/v27/i6/p89

Cycle of papers

Hochschild cohomologies of dihedral type algebras, I: $D(3\mathcal K)$ series in characteristic 2
A. I. Generalov
Algebra i Analiz, 2004, 16:6, 53–122
Hochschild cohomology of algebras of dihedral type. II. Local algebras
A. I. Generalov
Zap. Nauchn. Sem. POMI, 2010, 375, 92–129
Hochschild cohomology for algebras of dihedral type. IV. The family $D(2\mathcal B)(k,s,0)$
A. I. Generalov, N. Yu. Kosovskaia
Zap. Nauchn. Sem. POMI, 2014, 423, 67–104
Hochschild cohomology for algebras of dihedral type. V. The family $D(3\mathcal K)$ in characteristic different from 2
A. I. Generalov, I. M. Zilberbord, D. B. Romanova
Zap. Nauchn. Sem. POMI, 2014, 430, 74–102
Hochschild cohomology for algebras of dihedral type. VI. The family $D(2\mathcal B)(k,s,1)$
A. I. Generalov, D. B. Romanova
Algebra i Analiz, 2015, 27:6, 89–116
Hochschild cohomology of algebras of dihedral type. VIII. The Hochschild cohomology algebra for the family $D(2\mathcal B)(k,s,0)$ in characteristic $2$
A. I. Generalov, N. Yu. Kosovskaia
Zap. Nauchn. Sem. POMI, 2018, 470, 50–87
Hochschild cohomology of algebras of dihedral type. IX. The Hochschild cohomology algebra for the family $D(3\mathcal K)$ in characteristic different from $2$
A. I. Generalov, M. A. Kachalova, P. A. Mostovskij
Zap. Nauchn. Sem. POMI, 2022, 513, 30–56
Hochschild cohomology for algebras of dihedral type. X. Exceptional local algebras
A. I. Generalov, I. M. Zilberbord, V. A. Rogov
Zap. Nauchn. Sem. POMI, 2023, 522, 60–83
Hochschild cohomology of algebras of dihedral type. XI. Cohomology algebra for a family of exceptional algebras
A. I. Generalov
Zap. Nauchn. Sem. POMI, 2024, 531, 71–100
Hochschild cohomology of algebras of dihedral type. XII. Cohomology algebra for a family of exceptional algebras with two simple modules
A. I. Generalov
Zap. Nauchn. Sem. POMI, 2024, 538, 5–44

This publication is cited in the following 10 articles:

A. I. Generalov, “Kogomologii Khokhshilda algebr diedralnogo tipa. XI. Algebra kogomologii dlya nekotoroi serii isklyuchitelnykh algebr”, Voprosy teorii predstavlenii algebr i grupp. 40, Posvyaschaetsya pamyati Nikolaya Aleksandrovicha VAVILOVA, Zap. nauchn. sem. POMI, 531, POMI, SPb., 2024, 71–100
A. I. Generalov, “Kogomologii Khokhshilda algebr diedralnogo tipa. XII. Algebra kogomologii dlya serii isklyuchitelnykh algebr s dvumya prostymi modulyami”, Algebra i teoriya chisel. 7, Zap. nauchn. sem. POMI, 538, POMI, SPb., 2024, 5–44
A. I. Generalov, I. M. Zilberbord, V. A. Rogov, “Kogomologii Khokhshilda algebr diedralnogo tipa. X. Isklyuchitelnye lokalnye algebry”, Voprosy teorii predstavlenii algebr i grupp. 39, Zap. nauchn. sem. POMI, 522, POMI, SPb., 2023, 60–83
A. I. Generalov, M. A. Kachalova, P. A. Mostovskii, “Kogomologii Khokhshilda algebr diedralnogo tipa. IX. Algebra kogomologii dlya serii $D(3\mathcal K)$ v kharakteristike, otlichnoi ot $2$”, Voprosy teorii predstavlenii algebr i grupp. 38, Zap. nauchn. sem. POMI, 513, POMI, SPb., 2022, 30–56
M. A. Kachalova, “Algebra kogomologii Khokhshilda isklyuchitelnykh lokalnykh algebr diedralnogo tipa”, Voprosy teorii predstavlenii algebr i grupp. 38, Zap. nauchn. sem. POMI, 513, POMI, SPb., 2022, 85–109
A. I. Generalov, A. V. Semenov, “Kogomologii Khokhshilda algebr kvaternionnogo tipa. IV: Algebra kogomologii dlya isklyuchitelnykh lokalnykh algebr”, Voprosy teorii predstavlenii algebr i grupp. 34, Zap. nauchn. sem. POMI, 478, POMI, SPb., 2019, 32–77
A. I. Generalov, N. Yu. Kosovskaia, “Hochschild cohomology of algebras of dihedral type. VIII. The Hochschild cohomology algebra for the family $D(2\mathcal B)(k,s,0)$ in characteristic $2$”, J. Math. Sci. (N. Y.), 243:4 (2019), 535–560
A. I. Generalov, M. A. Filippov, “Hochschild cohomology for algebras of dihedral type, VII. The family $D(3\mathcal R)$”, J. Math. Sci. (N. Y.), 240:4 (2019), 408–427
A. I. Generalov, “Hochschild cohomology for algebras of semidihedral type. VI. The family $SD(2\mathcal B)_2$ in characteristic different from 2”, J. Math. Sci. (N. Y.), 222:4 (2017), 404–416
A. I. Generalov, “Hochschild cohomology for algebras of semidihedral type. VII. Algebras with a small parameter”, J. Math. Sci. (N. Y.), 232:5 (2018), 622–634

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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