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Communications in Algebra Volume 33, 2005 - Issue 4
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Original Articles

DEGENERATIONS OF 7-DIMENSIONAL NILPOTENT LIE ALGEBRAS

Dietrich Burde Fakulät für Mathematik, Universität Wien, Wien, Austria
Pages 1259-1277 | Accepted 17 Mar 2005, Published online: 23 Jul 2010
 
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ABSTRACT

We study the varieties of Lie algebra laws and their subvarieties of nilpotent Lie algebra laws. We classify all degenerations of (almost all) five-step and six-step nilpotent seven-dimensional complex Lie algebras. One of the main tools is the use of trivial and adjoint cohomology of these algebras. In addition, we give some new results on the varieties of complex Lie algebra laws in low dimension.

Mathematics Subject Classification:

Notes

#Communicated by R. Wisbauer.

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