Title: Expanding automorphisms and affine structures on nilpotent Lie algebras with few generators
Authors: Dekimpe, Karel * ×
Igodt, Paul G. *
Pouseele, Hannes * #
Issue Date: 2003
Publisher: Marcel dekker inc
Series Title: Communications in algebra vol:31 issue:12 pages:5847-5874
Abstract: We construct Z-gradings for all 3-generated 3-step nilpotent and 2-generated 4-step nilpotent Lie algebras. This shows that all 3-generated 4-step nilpotent and 2-generated 5-step nilpotent Lie algebras have a complete affine structure. We also obtain a lower bound on the number of generators of a c-step nilpotent Lie algebra with singular derivation algebra. Examples indicate this bound is sharp.
ISSN: 0092-7872
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Mathematics, Campus Kulak Kortrijk
* (joint) first author
× corresponding author
# (joint) last author

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