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Algebra i Analiz, 2004, Volume 16, Issue 6, Pages 53–122 (Mi aa639)  
This article is cited in 34 scientific papers (total in 34 papers)

Research Papers

Hochschild cohomologies of dihedral type algebras, I: D(3K) series in characteristic 2

A. I. Generalov

St. Petersburg State University, Department of Mathematics and Mechanics
Full-text PDF (2969 kB) Citations (34)
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Received: 17.03.2004
English version:
St. Petersburg Mathematical Journal, 2005, Volume 16, Issue 6, Pages 961–1012
DOI: https://doi.org/10.1090/S1061-0022-05-00886-1
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. I. Generalov, “Hochschild cohomologies of dihedral type algebras, I: D(3K) series in characteristic 2”, Algebra i Analiz, 16:6 (2004), 53–122; St. Petersburg Math. J., 16:6 (2005), 961–1012
Citation in format AMSBIB
\Bibitem{Gen04}
\by A.~I.~Generalov
\paper Hochschild cohomologies of dihedral type algebras,~I: $D(3\mathcal K)$ series in characteristic~2
\jour Algebra i Analiz
\yr 2004
\vol 16
\issue 6
\pages 53--122
\mathnet{http://mi.mathnet.ru/aa639}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2117449}
\zmath{https://zbmath.org/?q=an:1087.16007}
\transl
\jour St. Petersburg Math. J.
\yr 2005
\vol 16
\issue 6
\pages 961--1012
\crossref{https://doi.org/10.1090/S1061-0022-05-00886-1}
Linking options:
  • https://www.mathnet.ru/eng/aa639
  • https://www.mathnet.ru/eng/aa/v16/i6/p53
    Cycle of papers
    This publication is cited in the following 34 articles:
    1. 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  mathnet
    2. 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  mathnet
    3. 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  mathnet
    4. A. I. Generalov, “Hochschild Cohomology for Algebras of Semidihedral Type. X. Cohomology Algebra for the Exceptional Local Algebras”, J Math Sci, 272:3 (2023), 376  crossref
    5. 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  mathnet  mathscinet
    6. 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  mathnet  mathscinet
    7. A. I. Generalov, “Kogomologii Khokhshilda algebr poludiedralnogo tipa, X. Algebra kogomologii isklyuchitelnykh lokalnykh algebr”, Voprosy teorii predstavlenii algebr i grupp. 37, Zap. nauchn. sem. POMI, 500, POMI, SPb., 2021, 51–111  mathnet
    8. 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  mathnet
    9. A. I. Generalov, “Kogomologii algebr diedralnogo tipa. V”, Voprosy teorii predstavlenii algebr i grupp. 35, Zap. nauchn. sem. POMI, 484, POMI, SPb., 2019, 45–54  mathnet
    10. 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  mathnet  crossref
    11. 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  mathnet  crossref
    12. 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  mathnet  crossref  mathscinet
    13. 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  mathnet  crossref  mathscinet
    14. A. I. Generalov, I. M. Zilberbord, “Hochschild cohomology for algebras of semidihedral type. V. The family $SD(3\mathcal K)$”, J. Math. Sci. (N. Y.), 219:4 (2016), 493–512  mathnet  crossref  mathscinet
    15. A. I. Generalov, D. B. Romanova, “Hochschild cohomology for algebras of dihedral type. VI. The family $D(2\mathcal B)(k,s,1)$”, St. Petersburg Math. J., 27:6 (2016), 923–940  mathnet  crossref  mathscinet  isi  elib
    16. A. I. Generalov, N. Yu. Kosovskaia, “Hochschild cohomology for algebras of dihedral type. IV. The family $D(2\mathcal B)(k,s,0)$”, J. Math. Sci. (N. Y.), 209:4 (2015), 522–548  mathnet  crossref  mathscinet
    17. A. I. Generalov, I. M. Zilberbord, D. B. Romanova, “Hochschild cohomology for algebras of dihedral type. V. The family $D(3\mathcal K)$ in characteristic different from 2”, J. Math. Sci. (N. Y.), 219:3 (2016), 385–404  mathnet  crossref  mathscinet
    18. A. I. Generalov, “Hochschild cohomology for algebras of semidihedral type. IV. The cohomology algebra for the family $SD(2\mathcal B)_2(k,t,c)$ in the case $c=0$”, J. Math. Sci. (N. Y.), 202:3 (2014), 360–394  mathnet  crossref  mathscinet
    19. A. I. Generalov, “Hochschild cohomology for algebras of semidihedral type. III. The family $SD(2\mathcal B)_2$ in characteristic 2”, J. Math. Sci. (N. Y.), 192:2 (2013), 200–214  mathnet  crossref  mathscinet
    20. A. I. Generalov, “Hochschild cohomology for algebras of semidihedral type, II. Local algebras”, J. Math. Sci. (N. Y.), 180:3 (2012), 278–314  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
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