Geodesic
Cyclic cohomology of Lie algebras
Documenta mathematica, Tome 17 (2012), pp. 483-515.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Classification : 17B56, 16T15, 16E45, 19D55
Keywords: Yetter-Drinfeld modules, Lie algebras, mixed complex, Weil algebra, Koszul complex, Hopf cyclic cohomology 
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     author = {Rangipour, Bahram and S\"utl\"u, Serkan},
     title = {Cyclic cohomology of {Lie} algebras},
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     year = {2012},
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     url = {http://geodesic.mathdoc.fr/item/DOCMA_2012__17__a15/}
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Rangipour, Bahram; Sütlü, Serkan. Cyclic cohomology of Lie algebras. Documenta mathematica, Tome 17 (2012), pp. 483-515. http://geodesic.mathdoc.fr/item/DOCMA_2012__17__a15/