Research output: Contribution to journal › Article › peer-review
Hochschild cohomology for self-injective algebras of tree class D_n. I. / Volkov, Yu.; Generalov, A.
In: Journal of Mathematical Sciences, Vol. 147, No. 5, 2007, p. 7042-7073.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Hochschild cohomology for self-injective algebras of tree class D_n. I
AU - Volkov, Yu.
AU - Generalov, A.
PY - 2007
Y1 - 2007
N2 - The minimal projective bimodule resolution is constructed for algebras in a family of self-injective algebras of finite representation type with tree class Dn. Using this resolution, we calculate the dimensions of the Hochschild cohomology groups for the algebras under consideration. The described resolution is periodic, and thus the Hochschild cohomology of these algebras is periodic as well. Bibliography: 11 titles.
AB - The minimal projective bimodule resolution is constructed for algebras in a family of self-injective algebras of finite representation type with tree class Dn. Using this resolution, we calculate the dimensions of the Hochschild cohomology groups for the algebras under consideration. The described resolution is periodic, and thus the Hochschild cohomology of these algebras is periodic as well. Bibliography: 11 titles.
U2 - 10.1007/s10958-007-0528-0
DO - 10.1007/s10958-007-0528-0
M3 - статья
VL - 147
SP - 7042
EP - 7073
JO - Journal of Mathematical Sciences
JF - Journal of Mathematical Sciences
SN - 1072-3374
IS - 5
ER -
ID: 5492751