Geodesic
Cyclic cohomology of Lie algebras
Documenta mathematica, Tome 17 (2012), pp. 483-515
Cet article a éte moissonné depuis la source EMS Press

Voir la notice de l'article

We define and completely determine the category of Yetter-Drinfeld modules over Lie algebras. We prove a one to one correspondence between Yetter-Drinfeld modules over a Lie algebra and those over the universal enveloping algebra of the Lie algebra. We associate a mixed complex to a Lie algebra and a stable-Yetter-Drinfeld module over it. We show that the (truncated) Weil algebra, the Weil algebra with generalized coefficients defined by Alekseev-Meinrenken, and the perturbed Koszul complex introduced by Kumar-Vergne are examples of such a mixed complex.
DOI : 10.4171/dm/373
Classification : 16E45, 16T15, 17B56, 19D55
Mots-clés : Lie algebras, Yetter-Drinfeld modules, mixed complex, Weil algebra, Koszul complex, Hopf cyclic cohomology 
@article{10_4171_dm_373,
     author = {Serkan S\"utl\"u and Bahram Rangipour},
     title = {Cyclic cohomology of {Lie} algebras},
     journal = {Documenta mathematica},
     pages = {483--515},
     year = {2012},
     volume = {17},
     doi = {10.4171/dm/373},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/373/}
}
TY  - JOUR
AU  - Serkan Sütlü
AU  - Bahram Rangipour
TI  - Cyclic cohomology of Lie algebras
JO  - Documenta mathematica
PY  - 2012
SP  - 483
EP  - 515
VL  - 17
UR  - http://geodesic.mathdoc.fr/articles/10.4171/dm/373/
DO  - 10.4171/dm/373
ID  - 10_4171_dm_373
ER  - 
%0 Journal Article
%A Serkan Sütlü
%A Bahram Rangipour
%T Cyclic cohomology of Lie algebras
%J Documenta mathematica
%D 2012
%P 483-515
%V 17
%U http://geodesic.mathdoc.fr/articles/10.4171/dm/373/
%R 10.4171/dm/373
%F 10_4171_dm_373
Serkan Sütlü; Bahram Rangipour. Cyclic cohomology of Lie algebras. Documenta mathematica, Tome 17 (2012), pp. 483-515. doi: 10.4171/dm/373

Cité par Sources :