Hochschild cohomology for algebras of dihedral type.~IV. The family~$D(2\mathcal B)(k,s,0)$
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 26, Tome 423 (2014), pp. 67-104
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We compute the Hochschild cohomology groups for algebras of dihedral type which are contained in the family $D(2\mathcal B)(k,s,c)$ (from the famous K. Erdmann's classification) in the case where the parameter $c$ included in defining relations of algebras from this family is equal to zero. The calculation relies upon a construction of the bimodule resolution for algebras from the above family.
@article{ZNSL_2014_423_a3,
author = {A. I. Generalov and N. Yu. Kosovskaia},
title = {Hochschild cohomology for algebras of dihedral {type.~IV.} {The} family~$D(2\mathcal B)(k,s,0)$},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {67--104},
publisher = {mathdoc},
volume = {423},
year = {2014},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2014_423_a3/}
}
TY - JOUR AU - A. I. Generalov AU - N. Yu. Kosovskaia TI - Hochschild cohomology for algebras of dihedral type.~IV. The family~$D(2\mathcal B)(k,s,0)$ JO - Zapiski Nauchnykh Seminarov POMI PY - 2014 SP - 67 EP - 104 VL - 423 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZNSL_2014_423_a3/ LA - ru ID - ZNSL_2014_423_a3 ER -
%0 Journal Article %A A. I. Generalov %A N. Yu. Kosovskaia %T Hochschild cohomology for algebras of dihedral type.~IV. The family~$D(2\mathcal B)(k,s,0)$ %J Zapiski Nauchnykh Seminarov POMI %D 2014 %P 67-104 %V 423 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZNSL_2014_423_a3/ %G ru %F ZNSL_2014_423_a3
A. I. Generalov; N. Yu. Kosovskaia. Hochschild cohomology for algebras of dihedral type.~IV. The family~$D(2\mathcal B)(k,s,0)$. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 26, Tome 423 (2014), pp. 67-104. http://geodesic.mathdoc.fr/item/ZNSL_2014_423_a3/