Yu. V. Volkov, A. I. Generalov, “Hochschild cohomology for self-injective algebras of tree class $D_n$. I”, Problems in the theory of representations of algebras and groups. Part 15, Zap. Nauchn. Sem. POMI, 343, POMI, St. Petersburg, 2007, 121–182; J. Math. Sci. (N. Y.), 147:5 (2007), 7042

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Zapiski Nauchnykh Seminarov POMI, 2007, Volume 343, Pages 121–182 (Mi znsl113)

This article is cited in 24 scientific papers (total in 24 papers)

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

Yu. V. Volkov, A. I. Generalov

Saint-Petersburg State University

Full-text PDF (459 kB) Citations (24)

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Abstract: The minimal projective bimodule resolution is constructed for algebras in a family of selfinjective algebras of finite representation type and with tree class $D_n$. Using this resolution we calculate dimensions of the Hochschild cohomology groups for the algebras under consideration. The described resolution is periodic, and hence, the Hochschild cohomology of these algebras is periodic too.

Received: 20.03.2007

English version:
Journal of Mathematical Sciences (New York), 2007, Volume 147, Issue 5, Pages 7042–7073
DOI: https://doi.org/10.1007/s10958-007-0528-0

Bibliographic databases:

UDC: 512.5

Language: Russian

Citation: Yu. V. Volkov, A. I. Generalov, “Hochschild cohomology for self-injective algebras of tree class $D_n$. I”, Problems in the theory of representations of algebras and groups. Part 15, Zap. Nauchn. Sem. POMI, 343, POMI, St. Petersburg, 2007, 121–182; J. Math. Sci. (N. Y.), 147:5 (2007), 7042–7073

Citation in format AMSBIB

\Bibitem{VolGen07}

\by Yu.~V.~Volkov, A.~I.~Generalov

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

\inbook Problems in the theory of representations of algebras and groups. Part~15

\serial Zap. Nauchn. Sem. POMI

\yr 2007

\vol 343

\pages 121--182

\publ POMI

\publaddr St.~Petersburg

\mathnet{http://mi.mathnet.ru/znsl113}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2469415}

\transl

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

\yr 2007

\vol 147

\issue 5

\pages 7042--7073

\crossref{https://doi.org/10.1007/s10958-007-0528-0}

\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-36148987983}

Linking options:

https://www.mathnet.ru/eng/znsl113

https://www.mathnet.ru/eng/znsl/v343/p121

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 24 articles:

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

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References:	67

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