Yu. V. Volkov, “Hochschild cohomology for self-injective algebras of tree class $D_n$. II”, Problems in the theory of representations of algebras and groups. Part 18, Zap. Nauchn. Sem. POMI, 365, POMI, St. Petersburg, 2009, 63–121; J. Math. Sci. (N. Y.), 161:4 (2009), 492

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Zapiski Nauchnykh Seminarov POMI, 2009, Volume 365, Pages 63–121 (Mi znsl3466)

This article is cited in 22 scientific papers (total in 22 papers)

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

Yu. V. Volkov

St.-Petersburg State University

Full-text PDF (516 kB) Citations (22)

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Abstract: The minimal projective bimodule resolution for certain family of representation-finite self-injective algebras of tree class $D_n$ is constructed. Dimensions of the groups of Hochschild cohomology for the algebras under consideration are calculated by the instrumentality of this resolution. The constructed resolution is periodic and accordingly the Hochschild cohomology for these algebras are periodic too. Bibl. – 12 titles.

Received: 20.02.2009

English version:
Journal of Mathematical Sciences (New York), 2009, Volume 161, Issue 4, Pages 492–524
DOI: https://doi.org/10.1007/s10958-009-9579-8

Bibliographic databases:

UDC: 512.5

Language: Russian

Citation: Yu. V. Volkov, “Hochschild cohomology for self-injective algebras of tree class $D_n$. II”, Problems in the theory of representations of algebras and groups. Part 18, Zap. Nauchn. Sem. POMI, 365, POMI, St. Petersburg, 2009, 63–121; J. Math. Sci. (N. Y.), 161:4 (2009), 492–524

Citation in format AMSBIB

\Bibitem{Vol09}

\by Yu.~V.~Volkov

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

\inbook Problems in the theory of representations of algebras and groups. Part~18

\serial Zap. Nauchn. Sem. POMI

\yr 2009

\vol 365

\pages 63--121

\publ POMI

\publaddr St.~Petersburg

\mathnet{http://mi.mathnet.ru/znsl3466}

\zmath{https://zbmath.org/?q=an:05660145}

\transl

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

\yr 2009

\vol 161

\issue 4

\pages 492--524

\crossref{https://doi.org/10.1007/s10958-009-9579-8}

\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-70349589599}

Linking options:

https://www.mathnet.ru/eng/znsl3466

https://www.mathnet.ru/eng/znsl/v365/p63

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 22 articles:

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

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Abstract page:	382
Full-text PDF :	70
References:	47

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