Yu. V. Volkov, A. I. Generalov, “Hochschild cohomology for self-injective algebras of tree class $D_n$. III”, Problems in the theory of representations of algebras and groups. Part 20, Zap. Nauchn. Sem. POMI, 386, POMI, St. Petersburg, 2011, 100–128; J. Math. Sci. (N. Y.), 180:3 (2012), 252

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Zapiski Nauchnykh Seminarov POMI, 2011, Volume 386, Pages 100–128 (Mi znsl3909)

This article is cited in 16 scientific papers (total in 16 papers)

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

Yu. V. Volkov, A. I. Generalov

St. Petersburg State University, St. Petersburg, Russia

Full-text PDF (709 kB) Citations (16)

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Abstract: We describe in terms of generators and relations the Hochschild cohomology algebra for a family of representation-finite self-injective algebras of tree class $D_4$. In the corresponding calculations, we use the minimal projective bimodule resolution which was constructed in the another authors' paper. Bibl. 10 titles.

Key words and phrases: selfinjective algebras of finite representation type, Hochschild cohomilogy algebra.

Received: 20.12.2010

English version:
Journal of Mathematical Sciences (New York), 2012, Volume 180, Issue 3, Pages 252–268
DOI: https://doi.org/10.1007/s10958-011-0642-x

Bibliographic databases:

Document Type: Article

UDC: 512.5

Language: Russian

Citation: Yu. V. Volkov, A. I. Generalov, “Hochschild cohomology for self-injective algebras of tree class $D_n$. III”, Problems in the theory of representations of algebras and groups. Part 20, Zap. Nauchn. Sem. POMI, 386, POMI, St. Petersburg, 2011, 100–128; J. Math. Sci. (N. Y.), 180:3 (2012), 252–268

Citation in format AMSBIB

\Bibitem{VolGen11}

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

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

\inbook Problems in the theory of representations of algebras and groups. Part~20

\serial Zap. Nauchn. Sem. POMI

\yr 2011

\vol 386

\pages 100--128

\publ POMI

\publaddr St.~Petersburg

\mathnet{http://mi.mathnet.ru/znsl3909}

\transl

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

\yr 2012

\vol 180

\issue 3

\pages 252--268

\crossref{https://doi.org/10.1007/s10958-011-0642-x}

\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84855716195}

Linking options:

https://www.mathnet.ru/eng/znsl3909

https://www.mathnet.ru/eng/znsl/v386/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 16 articles:

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Related articles in Google Scholar: Russian articles, English articles

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Full-text PDF :	82
References:	55

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