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Hochschild cohomology for self-injective algebras of tree class D<inf>n</inf>. VI. / Volkov, Y.V.

In: Journal of Mathematical Sciences, No. 4, 2015, p. 500-514.

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Volkov, Y.V. / Hochschild cohomology for self-injective algebras of tree class D<inf>n</inf>. VI. In: Journal of Mathematical Sciences. 2015 ; No. 4. pp. 500-514.

BibTeX

@article{7181efbb3b764ae19de24eb56aa90af8,
title = "Hochschild cohomology for self-injective algebras of tree class Dn. VI",
abstract = "{\textcopyright} 2015 Springer Science+Business Media New York.For an R-bimodule M with structure of a k-algebra and an agreed action of a finite group G ⊂ AutR, an algebra HH∗(R,M)G↑ is defined. An isomorphism between the algebras HH∗(R) and (Formula presented.) is constructed in terms of bar-resolutions, where (Formula presented.). The Hochschild cohomology algebra for one series of the self-injective algebras of tree class Dn is calculated with the help of these results.",
author = "Y.V. Volkov",
year = "2015",
doi = "10.1007/s10958-015-2508-0",
language = "English",
pages = "500--514",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "4",

}

RIS

TY - JOUR

T1 - Hochschild cohomology for self-injective algebras of tree class Dn. VI

AU - Volkov, Y.V.

PY - 2015

Y1 - 2015

N2 - © 2015 Springer Science+Business Media New York.For an R-bimodule M with structure of a k-algebra and an agreed action of a finite group G ⊂ AutR, an algebra HH∗(R,M)G↑ is defined. An isomorphism between the algebras HH∗(R) and (Formula presented.) is constructed in terms of bar-resolutions, where (Formula presented.). The Hochschild cohomology algebra for one series of the self-injective algebras of tree class Dn is calculated with the help of these results.

AB - © 2015 Springer Science+Business Media New York.For an R-bimodule M with structure of a k-algebra and an agreed action of a finite group G ⊂ AutR, an algebra HH∗(R,M)G↑ is defined. An isomorphism between the algebras HH∗(R) and (Formula presented.) is constructed in terms of bar-resolutions, where (Formula presented.). The Hochschild cohomology algebra for one series of the self-injective algebras of tree class Dn is calculated with the help of these results.

U2 - 10.1007/s10958-015-2508-0

DO - 10.1007/s10958-015-2508-0

M3 - Article

SP - 500

EP - 514

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 4

ER -

ID: 4001411