Research output: Contribution to journal › Article › peer-review
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.Research output: Contribution to journal › Article › peer-review
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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