A. I. Generalov, “Cohomology of algebras of semidihedral type, IV”, Problems in the theory of representations of algebras and groups. Part 11, Zap. Nauchn. Sem. POMI, 319, POMI, St. Petersburg, 2004, 81–116; J. Math. Sci. (N. Y.), 134:6 (2006), 2489

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Zapiski Nauchnykh Seminarov POMI, 2004, Volume 319, Pages 81–116 (Mi znsl611)

This article is cited in 6 scientific papers (total in 6 papers)

Cohomology of algebras of semidihedral type, IV

A. I. Generalov

Saint-Petersburg State University

Full-text PDF (342 kB) Citations (6)

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Abstract: The present paper continues the cycle of papers of the author (some among them – in collaboration), in which the Yoneda algebra are calculated for several families of algebras of dihedral and semidihedral type (in K. Erdmann's classification). In the paper, the Yoneda algebra are described (in terms of quivers with relations) for algebras of semidihedral type, namely of the families $SD(2\mathcal{A})_1$, $SD(2\mathcal{A})_2$ and $SD(3\mathcal{A})_2$.

Received: 01.10.2004

English version:
Journal of Mathematical Sciences (New York), 2006, Volume 134, Issue 6, Pages 2489–2510
DOI: https://doi.org/10.1007/s10958-006-0124-8

Bibliographic databases:

UDC: 512.5

Language: Russian

Citation: A. I. Generalov, “Cohomology of algebras of semidihedral type, IV”, Problems in the theory of representations of algebras and groups. Part 11, Zap. Nauchn. Sem. POMI, 319, POMI, St. Petersburg, 2004, 81–116; J. Math. Sci. (N. Y.), 134:6 (2006), 2489–2510

Citation in format AMSBIB

\Bibitem{Gen04}

\by A.~I.~Generalov

\paper Cohomology of algebras of semidihedral type,~IV

\inbook Problems in the theory of representations of algebras and groups. Part~11

\serial Zap. Nauchn. Sem. POMI

\yr 2004

\vol 319

\pages 81--116

\publ POMI

\publaddr St.~Petersburg

\mathnet{http://mi.mathnet.ru/znsl611}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2117855}

\zmath{https://zbmath.org/?q=an:1079.16005}

\transl

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

\yr 2006

\vol 134

\issue 6

\pages 2489--2510

\crossref{https://doi.org/10.1007/s10958-006-0124-8}

Linking options:

https://www.mathnet.ru/eng/znsl611

https://www.mathnet.ru/eng/znsl/v319/p81

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 6 articles:

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

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References:	51

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