On the structure of the cohomology of nilpotent Lie algebras

The exterior algebra over the centre of a Lie algebra acts on the cohomology of the Lie algebra in a natural way. Focusing on nilpotent Lie algebras, we explore the module structure afforded by this action. We show that for all two-step nilpotent Lie algebras, this module structure is non-trivial, w...

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Bibliographic Details
Main Author: Pestov, Sviatoslav
Format: Others
Language:en
Published: University of Ottawa (Canada) 2013
Subjects:
Online Access:http://hdl.handle.net/10393/28015
http://dx.doi.org/10.20381/ruor-19039