Y. V. Volkov, “Hochschild cohomology for self-injective algebras of tree class $D_n$. IV”, Problems in the theory of representations of algebras and groups. Part 21, Zap. Nauchn. Sem. POMI, 388, POMI, St. Petersburg, 2011, 100–118; J. Math. Sci. (N. Y.), 183:5 (2012), 629

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Zapiski Nauchnykh Seminarov POMI, 2011, Volume 388, Pages 100–118 (Mi znsl4106)

This article is cited in 15 scientific papers (total in 15 papers)

Hochschild cohomology for self-injective algebras of tree class $D_n$. IV

Y. V. Volkov

Saint-Petersburg State University, Saint-Petersburg, Russia

Full-text PDF (669 kB) Citations (15)

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Abstract: We construct the minimal projective bimodule resolution for certain family of representation-finite self-injective algebras of tree class $D_n$. Using this resolution, we calculate dimensions of the Hochschild cohomology groups for these algebras. The above resolution and accordingly the Hochschild cohomology for these algebras are periodic.

Key words and phrases: self-injective algebras of finite representation type, Hochschild comology.

Received: 01.06.2011

English version:
Journal of Mathematical Sciences (New York), 2012, Volume 183, Issue 5, Pages 629–639
DOI: https://doi.org/10.1007/s10958-012-0828-x

Bibliographic databases:

Document Type: Article

UDC: 512

Language: Russian

Citation: Y. V. Volkov, “Hochschild cohomology for self-injective algebras of tree class $D_n$. IV”, Problems in the theory of representations of algebras and groups. Part 21, Zap. Nauchn. Sem. POMI, 388, POMI, St. Petersburg, 2011, 100–118; J. Math. Sci. (N. Y.), 183:5 (2012), 629–639

Citation in format AMSBIB

\Bibitem{Vol11}

\by Y.~V.~Volkov

\paper Hochschild cohomology for self-injective algebras of tree class~$D_n$.~IV

\inbook Problems in the theory of representations of algebras and groups. Part~21

\serial Zap. Nauchn. Sem. POMI

\yr 2011

\vol 388

\pages 100--118

\publ POMI

\publaddr St.~Petersburg

\mathnet{http://mi.mathnet.ru/znsl4106}

\transl

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

\yr 2012

\vol 183

\issue 5

\pages 629--639

\crossref{https://doi.org/10.1007/s10958-012-0828-x}

\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84862262081}

Linking options:

https://www.mathnet.ru/eng/znsl4106

https://www.mathnet.ru/eng/znsl/v388/p100

Cycle of papers

Hochschild cohomology for self-injective algebras of tree class $D_n$. I
Yu. V. Volkov, A. I. Generalov
Zap. Nauchn. Sem. POMI, 2007, 343, 121–182
Hochschild cohomology for self-injective algebras of tree class $D_n$. II
Yu. V. Volkov
Zap. Nauchn. Sem. POMI, 2009, 365, 63–121
Hochschild cohomology for self-injective algebras of tree class $D_n$. III
Yu. V. Volkov, A. I. Generalov
Zap. Nauchn. Sem. POMI, 2011, 386, 100–128
Hochschild cohomology for self-injective algebras of tree class $D_n$. IV
Y. V. Volkov
Zap. Nauchn. Sem. POMI, 2011, 388, 100–118
Hochschild cohomology for self-injective algebras of tree class $D_n$. V
Yu. V. Volkov
Zap. Nauchn. Sem. POMI, 2011, 394, 140–173
Hochschild cohomology for self-injective algebras of tree class $D_n$. VI
Yu. V. Volkov
Zap. Nauchn. Sem. POMI, 2014, 423, 33–56

This publication is cited in the following 15 articles:

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

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Full-text PDF :	58
References:	46

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