On the cohomology of infinite dimensional nilpotent Lie algebras
type: Item
instance of: scholarly article
title: On the cohomology of infinite dimensional nilpotent Lie algebras
zbMATH Open document ID: 0784.17031
author: Alice Fialowski
published in: Advances in Mathematics
publication date: 1993-06-29T00:00:00Z
review text: The author determines the structure of one- and two-dimensional cohomology of infinite dimensional nilpotent Lie algebras with coefficients in the adjoint representation. The results are different from that in finite dimension, because the adjoint representation is not a highest weight representation in infinite dimension.
Mathematics Subject Classification ID: 17B56
Mathematics Subject Classification ID: 17B65
zbMATH DE Number: 221232
zbMATH Keywords: cohomology
zbMATH Keywords: infinite dimensional nilpotent Lie algebras
zbMATH Keywords: adjoint representation
reviewed by: Chiu Sen
MaRDI profile type: Publication
OpenAlex ID: W2092809104
DOI: 10.1006/AIMA.1993.1008
description: scientific article; zbMATH DE number 221232