Cyclic cohomology of Lie algebras
type: Item
instance of: scholarly article
title: Cyclic cohomology of Lie algebras
zbMATH Open document ID: 1307.17024
author: Bahram Rangipour
author: Serkan Sütlü
published in: Documenta Mathematica
publication date: 2012-10-22T00:00:00Z
full work available at URL: https://arxiv.org/abs/1108.2806
full work available at URL: 15.html
review text: 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.
Mathematics Subject Classification ID: 17B56
Mathematics Subject Classification ID: 16T15
Mathematics Subject Classification ID: 16E45
Mathematics Subject Classification ID: 19D55
zbMATH DE Number: 6097011
zbMATH Keywords: Yetter-Drinfeld modules
zbMATH Keywords: Lie algebras
zbMATH Keywords: mixed complex
zbMATH Keywords: Weil algebra
zbMATH Keywords: Koszul complex
zbMATH Keywords: Hopf cyclic cohomology
MaRDI profile type: Publication
arXiv ID: 1108.2806
description: scientific article; zbMATH DE number 6097011