Operations on the Hopf-Hochschild complex for module-algebras
Homology, homotopy, and applications, Tome 13 (2011) no. 1, pp. 259-272.

Voir la notice de l'article provenant de la source International Press of Boston

It is proved that Kaygun’s Hopf-Hochschild cochain complex for a module-algebra is a brace algebra with multiplication. As a result, an analogue of Deligne’s Conjecture holds for module-algebras, and the Hopf-Hochschild cohomology of a module-algebra has a Gerstenhaber algebra structure.
DOI : 10.4310/HHA.2011.v13.n1.a10
Classification : 16E40
Keywords: module-algebra, Hopf-Hochschild cohomology, Gerstenhaber algebra, brace algebra, Deligne’s conjecture
@article{HHA_2011_13_1_a9,
     author = {Donald Yau},
     title = {Operations on the {Hopf-Hochschild} complex for module-algebras},
     journal = {Homology, homotopy, and applications},
     pages = {259--272},
     publisher = {mathdoc},
     volume = {13},
     number = {1},
     year = {2011},
     doi = {10.4310/HHA.2011.v13.n1.a10},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2011.v13.n1.a10/}
}
TY  - JOUR
AU  - Donald Yau
TI  - Operations on the Hopf-Hochschild complex for module-algebras
JO  - Homology, homotopy, and applications
PY  - 2011
SP  - 259
EP  - 272
VL  - 13
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4310/HHA.2011.v13.n1.a10/
DO  - 10.4310/HHA.2011.v13.n1.a10
LA  - en
ID  - HHA_2011_13_1_a9
ER  - 
%0 Journal Article
%A Donald Yau
%T Operations on the Hopf-Hochschild complex for module-algebras
%J Homology, homotopy, and applications
%D 2011
%P 259-272
%V 13
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4310/HHA.2011.v13.n1.a10/
%R 10.4310/HHA.2011.v13.n1.a10
%G en
%F HHA_2011_13_1_a9
Donald Yau. Operations on the Hopf-Hochschild complex for module-algebras. Homology, homotopy, and applications, Tome 13 (2011) no. 1, pp. 259-272. doi : 10.4310/HHA.2011.v13.n1.a10. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2011.v13.n1.a10/

Cité par Sources :