Geodesic
Distinguishing derived equivalence classes using the second Hochschild cohomology group
Deena Al-Kadi1
1 Department of Mathematics Taif University Taif, Saudia Arabia
Colloquium Mathematicum, Tome 121 (2010) no. 2, pp. 285-294.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We study the second Hochschild cohomology group of the preprojective algebra of type $D_4$ over an algebraically closed field $K$ of characteristic 2. We also calculate the second Hochschild cohomology group of a non-standard algebra which arises as a socle deformation of this preprojective algebra and so show that the two algebras are not derived equivalent. This answers a question raised by Holm and Skowroński.
DOI : 10.4064/cm121-2-11
Keywords: study second hochschild cohomology group preprojective algebra type algebraically closed field characteristic calculate second hochschild cohomology group non standard algebra which arises socle deformation preprojective algebra algebras derived equivalent answers question raised holm skowro ski

Deena Al-Kadi 1

1 Department of Mathematics Taif University Taif, Saudia Arabia 
@article{10_4064_cm121_2_11,
     author = {Deena Al-Kadi},
     title = {Distinguishing derived equivalence classes using the second {Hochschild} cohomology group},
     journal = {Colloquium Mathematicum},
     pages = {285--294},
     publisher = {mathdoc},
     volume = {121},
     number = {2},
     year = {2010},
     doi = {10.4064/cm121-2-11},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/cm121-2-11/}
}
TY  - JOUR
AU  - Deena Al-Kadi
TI  - Distinguishing derived equivalence classes using the second Hochschild cohomology group
JO  - Colloquium Mathematicum
PY  - 2010
SP  - 285
EP  - 294
VL  - 121
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/cm121-2-11/
DO  - 10.4064/cm121-2-11
LA  - en
ID  - 10_4064_cm121_2_11
ER  - 
%0 Journal Article
%A Deena Al-Kadi
%T Distinguishing derived equivalence classes using the second Hochschild cohomology group
%J Colloquium Mathematicum
%D 2010
%P 285-294
%V 121
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/cm121-2-11/
%R 10.4064/cm121-2-11
%G en
%F 10_4064_cm121_2_11
Deena Al-Kadi. Distinguishing derived equivalence classes using the second Hochschild cohomology group. Colloquium Mathematicum, Tome 121 (2010) no. 2, pp. 285-294. doi : 10.4064/cm121-2-11. http://geodesic.mathdoc.fr/articles/10.4064/cm121-2-11/

Cité par Sources :