Hochschild cohomology for algebras of semidihedral type.~V. The family~$SD(3\mathcal K)$
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 28, Tome 435 (2015), pp. 5-32
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We compute the Hochschild cohomology groups for algebras of semidihedral type from the family $SD(3\mathcal K)$ (within the famous K. Erdmann's classification). Our calculation relies on “a bimodule resalution” for algebras of the above family.
@article{ZNSL_2015_435_a0,
author = {A. I. Generalov and I. M. Zilberbord},
title = {Hochschild cohomology for algebras of semidihedral {type.~V.} {The} family~$SD(3\mathcal K)$},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {5--32},
publisher = {mathdoc},
volume = {435},
year = {2015},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2015_435_a0/}
}
TY - JOUR AU - A. I. Generalov AU - I. M. Zilberbord TI - Hochschild cohomology for algebras of semidihedral type.~V. The family~$SD(3\mathcal K)$ JO - Zapiski Nauchnykh Seminarov POMI PY - 2015 SP - 5 EP - 32 VL - 435 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZNSL_2015_435_a0/ LA - ru ID - ZNSL_2015_435_a0 ER -
A. I. Generalov; I. M. Zilberbord. Hochschild cohomology for algebras of semidihedral type.~V. The family~$SD(3\mathcal K)$. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 28, Tome 435 (2015), pp. 5-32. http://geodesic.mathdoc.fr/item/ZNSL_2015_435_a0/