A. I. Generalov, M. A. Filippov, “Hochschild cohomology for algebras of dihedral type, VII. The family $D(3\mathcal R)$”, Problems in the theory of representations of algebras and groups. Part 32, Zap. Nauchn. Sem. POMI, 460, POMI, St. Petersburg, 2017, 53–81; J. Math. Sci. (N. Y.), 240:4 (2019), 408

Zapiski Nauchnykh Seminarov POMI

RUS ENG

JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PACKAGE AMSBIB

JavaScript is disabled in your browser. Please switch it on to enable full functionality of the website

	General information
	Latest issue
	Archive
	Impact factor

	Search papers
	Search references

	RSS
	Latest issue
	Current issues
	Archive issues
	What is RSS

Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
	Find

Personal entry:
Login:
Password:
	Save password
	Enter
	Forgotten password?
	Register

Zapiski Nauchnykh Seminarov POMI, 2017, Volume 460, Pages 53–81 (Mi znsl6471)

This article is cited in 7 scientific papers (total in 7 papers)

Hochschild cohomology for algebras of dihedral type, VII. The family

$D(3\mathcal R)$

A. I. Generalov, M. A. Filippov

St. Petersburg State University, St. Petersburg, Russia

Full-text PDF (305 kB) Citations (7)

References:

PDF

HTML

Abstract: We compute the Hochschild cohomology groups for algebras of dihedral type which are contained in the family

$D(3\mathcal R)$ (from the famous K. Erdmann's classification). In the calculation, we use the beforehand construction of the minimal bimodule resolution for algebras from the family under discussion.

Key words and phrases: Hochschild cohomology groups, algebras of dihedral type, bimodule resolution.

Funding agency	Grant number
Russian Foundation for Basic Research	17-01-00258
Ministry of Education and Science of the Russian Federation	НШ-9721.2016.1 МК-1378.2017.1

Received: 30.10.2017

English version:
Journal of Mathematical Sciences (New York), 2019, Volume 240, Issue 4, Pages 408–427
DOI: https://doi.org/10.1007/s10958-019-04360-4

Document Type: Article

UDC: 512.5

Language: Russian

Citation: A. I. Generalov, M. A. Filippov, “Hochschild cohomology for algebras of dihedral type, VII. The family

$D(3\mathcal R)$ ”, Problems in the theory of representations of algebras and groups. Part 32, Zap. Nauchn. Sem. POMI, 460, POMI, St. Petersburg, 2017, 53–81; J. Math. Sci. (N. Y.), 240:4 (2019), 408–427

Citation in format AMSBIB

\Bibitem{GenFil17}

\by A.~I.~Generalov, M.~A.~Filippov

\paper Hochschild cohomology for algebras of dihedral type,~VII. The family $D(3\mathcal R)$

\inbook Problems in the theory of representations of algebras and groups. Part~32

\serial Zap. Nauchn. Sem. POMI

\yr 2017

\vol 460

\pages 53--81

\publ POMI

\publaddr St.~Petersburg

\mathnet{http://mi.mathnet.ru/znsl6471}

\transl

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

\yr 2019

\vol 240

\issue 4

\pages 408--427

\crossref{https://doi.org/10.1007/s10958-019-04360-4}

Linking options:

https://www.mathnet.ru/eng/znsl6471

https://www.mathnet.ru/eng/znsl/v460/p53

This publication is cited in the following 7 articles:

A. I. Generalov, “Kogomologii Khokhshilda algebr diedralnogo tipa. XI. Algebra kogomologii dlya nekotoroi serii isklyuchitelnykh algebr”, Voprosy teorii predstavlenii algebr i grupp. 40, Posvyaschaetsya pamyati Nikolaya Aleksandrovicha VAVILOVA, Zap. nauchn. sem. POMI, 531, POMI, SPb., 2024, 71–100
A. I. Generalov, “Kogomologii Khokhshilda algebr diedralnogo tipa. XII. Algebra kogomologii dlya serii isklyuchitelnykh algebr s dvumya prostymi modulyami”, Algebra i teoriya chisel. 7, Zap. nauchn. sem. POMI, 538, POMI, SPb., 2024, 5–44
A. I. Generalov, I. M. Zilberbord, V. A. Rogov, “Kogomologii Khokhshilda algebr diedralnogo tipa. X. Isklyuchitelnye lokalnye algebry”, Voprosy teorii predstavlenii algebr i grupp. 39, Zap. nauchn. sem. POMI, 522, POMI, SPb., 2023, 60–83
A. I. Generalov, M. A. Kachalova, P. A. Mostovskii, “Kogomologii Khokhshilda algebr diedralnogo tipa. IX. Algebra kogomologii dlya serii $D(3\mathcal K)$ v kharakteristike, otlichnoi ot $2$ ”, Voprosy teorii predstavlenii algebr i grupp. 38, Zap. nauchn. sem. POMI, 513, POMI, SPb., 2022, 30–56
M. A. Kachalova, “Algebra kogomologii Khokhshilda isklyuchitelnykh lokalnykh algebr diedralnogo tipa”, Voprosy teorii predstavlenii algebr i grupp. 38, Zap. nauchn. sem. POMI, 513, POMI, SPb., 2022, 85–109
A. I. Generalov, A. V. Semenov, “Kogomologii Khokhshilda algebr kvaternionnogo tipa. IV: Algebra kogomologii dlya isklyuchitelnykh lokalnykh algebr”, Voprosy teorii predstavlenii algebr i grupp. 34, Zap. nauchn. sem. POMI, 478, POMI, SPb., 2019, 32–77
A. I. Generalov, N. Yu. Kosovskaia, “Hochschild cohomology of algebras of dihedral type. VIII. The Hochschild cohomology algebra for the family $D(2\mathcal B)(k,s,0)$ in characteristic $2$ ”, J. Math. Sci. (N. Y.), 243:4 (2019), 535–560

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

Statistics & downloads:
Abstract page:	285
Full-text PDF :	85
References:	52

Registration to the website

Logotypes