M. A. Antipov, A. I. Generalov, “Cohomology of algebras of semidihedral type. II”, Problems in the theory of representations of algebras and groups. Part 9, Zap. Nauchn. Sem. POMI, 289, POMI, St. Petersburg, 2002, 9–36; J. Math. Sci. (N. Y.), 124:1 (2004), 4681

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Zapiski Nauchnykh Seminarov POMI, 2002, Volume 289, Pages 9–36 (Mi znsl1593)

This article is cited in 14 scientific papers (total in 14 papers)

Cohomology of algebras of semidihedral type. II

M. A. Antipov, A. I. Generalov

Saint-Petersburg State University

Full-text PDF (311 kB) Citations (14)

Abstract: The minimal projective resolutions of simple modules over algebras belonging to two families of algebras of semidihedral type, – namely, to the families $SD(2\mathscr B)_3$ and $SD(2\mathscr B)_1$, – are constructed. Using these resolutions the description of Yoneda algebras of algebras under consideration are obtained in terms of quivers with relations.

Received: 21.10.2002

English version:
Journal of Mathematical Sciences (New York), 2004, Volume 124, Issue 1, Pages 4681–4697
DOI: https://doi.org/10.1023/B:JOTH.0000042304.55490.9d

Bibliographic databases:

UDC: 512.5+512.6

Language: Russian

Citation: M. A. Antipov, A. I. Generalov, “Cohomology of algebras of semidihedral type. II”, Problems in the theory of representations of algebras and groups. Part 9, Zap. Nauchn. Sem. POMI, 289, POMI, St. Petersburg, 2002, 9–36; J. Math. Sci. (N. Y.), 124:1 (2004), 4681–4697

Citation in format AMSBIB

\Bibitem{AntGen02}

\by M.~A.~Antipov, A.~I.~Generalov

\paper Cohomology of algebras of semidihedral type.~II

\inbook Problems in the theory of representations of algebras and groups. Part~9

\serial Zap. Nauchn. Sem. POMI

\yr 2002

\vol 289

\pages 9--36

\publ POMI

\publaddr St.~Petersburg

\mathnet{http://mi.mathnet.ru/znsl1593}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1949731}

\zmath{https://zbmath.org/?q=an:1070.16009}

\transl

\jour J. Math. Sci. (N. Y.)

\yr 2004

\vol 124

\issue 1

\pages 4681--4697

\crossref{https://doi.org/10.1023/B:JOTH.0000042304.55490.9d}

Linking options:

https://www.mathnet.ru/eng/znsl1593

https://www.mathnet.ru/eng/znsl/v289/p9

Cycle of papers

Cohomology of algebras of semidyhedral type
A. I. Generalov
Algebra i Analiz, 2001, 13:4, 54–85
Cohomology of algebras of semidihedral type. II
M. A. Antipov, A. I. Generalov
Zap. Nauchn. Sem. POMI, 2002, 289, 9–36
Cohomology of algebras of semidihedral type, III: the family $SD(3\mathcal K)$
A. I. Generalov
Zap. Nauchn. Sem. POMI, 2003, 305, 84–100
Cohomology of algebras of semidihedral type, IV
A. I. Generalov
Zap. Nauchn. Sem. POMI, 2004, 319, 81–116
Cohomology of algebras of semidihedral type. V
A. I. Generalov
Zap. Nauchn. Sem. POMI, 2006, 330, 131–154
Cohomology of algebras of semidihedral type. VI
A. I. Generalov
Zap. Nauchn. Sem. POMI, 2007, 343, 183–198
Cohomology of algebras of semidihedral type. VII. Local algebras
A. I. Generalov
Zap. Nauchn. Sem. POMI, 2009, 365, 130–142
Cohomology of algebras of semidihedral type. VIII
A. I. Generalov
Zap. Nauchn. Sem. POMI, 2011, 394, 194–208

This publication is cited in the following 14 articles:

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

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