A. I. Generalov, “Cohomology of algebras of dihedral type. I”, Problems in the theory of representations of algebras and groups. Part 6, Zap. Nauchn. Sem. POMI, 265, POMI, St. Petersburg, 1999, 139–162; J. Math. Sci. (New York), 112:3 (2002), 4318

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Zapiski Nauchnykh Seminarov POMI, 1999, Volume 265, Pages 139–162 (Mi znsl1194)

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

Cohomology of algebras of dihedral type. I

A. I. Generalov

Saint-Petersburg State University

Full-text PDF (244 kB) Citations (14)

Abstract: The technique is developed which is related with Benson-Carlson diagrammatic method. Using this technique we describe Yoneda algebras of algebras constituting some series of algebras of dihedral type. We also describe Ext-algebras of simple modules over considered algebras.

Received: 10.11.1999

English version:
Journal of Mathematical Sciences (New York), 2002, Volume 112, Issue 3, Pages 4318–4331
DOI: https://doi.org/10.1023/A:1020338801963

Bibliographic databases:

UDC: 512.5

Language: Russian

Citation: A. I. Generalov, “Cohomology of algebras of dihedral type. I”, Problems in the theory of representations of algebras and groups. Part 6, Zap. Nauchn. Sem. POMI, 265, POMI, St. Petersburg, 1999, 139–162; J. Math. Sci. (New York), 112:3 (2002), 4318–4331

Citation in format AMSBIB

\Bibitem{Gen99}

\by A.~I.~Generalov

\paper Cohomology of algebras of dihedral type.~I

\inbook Problems in the theory of representations of algebras and groups. Part~6

\serial Zap. Nauchn. Sem. POMI

\yr 1999

\vol 265

\pages 139--162

\publ POMI

\publaddr St.~Petersburg

\mathnet{http://mi.mathnet.ru/znsl1194}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1757820}

\zmath{https://zbmath.org/?q=an:1053.16005}

\transl

\jour J. Math. Sci. (New York)

\yr 2002

\vol 112

\issue 3

\pages 4318--4331

\crossref{https://doi.org/10.1023/A:1020338801963}

Linking options:

https://www.mathnet.ru/eng/znsl1194

https://www.mathnet.ru/eng/znsl/v265/p139

Cycle of papers

Cohomology of algebras of dihedral type. I
A. I. Generalov
Zap. Nauchn. Sem. POMI, 1999, 265, 139–162
Cohomology of algebras of dihedral type. II
O. I. Balashov, A. I. Generalov
Algebra i Analiz, 2001, 13:1, 3–25
Cohomology of algebras of dihedral type, IV: the family $D(2\mathcal B)$
A. I. Generalov
Zap. Nauchn. Sem. POMI, 2002, 289, 76–89
Cohomology of algebras of dihedral type, III: the family $D(2\mathcal A)$
A. I. Generalov, E. A. Osiyuk
Zap. Nauchn. Sem. POMI, 2002, 289, 113–133
Cohomology of algebras of dihedral type. V
A. I. Generalov
Zap. Nauchn. Sem. POMI, 2019, 484, 45–54

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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